Cluster · HCF and LCM Calculations

d
Clusters / #1215
tight score 0.00

HCF and LCM Problem Solving
Questions
248
Questions in this cluster
248 total
Question Category Subtype Difficulty

The ratio of two numbers is 5 : 4 and their HCF is 4. What is their LCM?

pipeline-387690
quant intermediate

The sum of two numbers is 21, and their HCF and LCM are 7 and 14, respectively. The sum of the reciprocals of the two numbers is:

 

pipeline-523784
quant intermediate

Two numbers are in the ratio 2 : 5 and their HCF is 18. Their LCM is:

pipeline-33205
quant intermediate

If the sum of two numbers is 15 and their HCF and LCM are 3 and 18, respectively, then the sum of the reciprocals of the two numbers is:

pipeline-529434
quant intermediate

Three number are in the ratio of 4 : 5 : 6, and their LCM is 180. Their HCF is:

pipeline-516583
quant intermediate

The HCF of two numbers is 6 and their LCM is 253080. If one of the numbers is 4218, what is the second number ?

pipeline-492039
quant intermediate
Determine the LCM of two numbers if their HCF is 12 and their ratio is 13 : 15.
pipeline-574769
quant intermediate

The product of 2 numbers is 1890 and the numbers differ by 3. Find the LCM of the numbers.

pipeline-519433
quant intermediate

Let the HCF of m and n be ‘a’ and let n = ab, LCM of m and n is given by:

pipeline-573441
quant intermediate

Two numbers are in the ratio of 2 : 3. Their HCF and LCM are 21 and 126, respectively. What is the difference of these two numbers?

pipeline-518084
quant intermediate

Divide the LCM of the 35 and 42 by the HCF of 32 and 40.

pipeline-480788
quant intermediate

If the LCM of two numbers a and b is 60 and their HCF is 15. Determine their mean proportion.

pipeline-453084
quant intermediate

The HCF and the LCM of two numbers are 5 and 175, respectively. If the ratio of the two numbers is 5 : 7, the larger of the two numbers is _______.

pipeline-568036
quant intermediate

The highest common factor and the least common multiple of 432, 648, and 576 are _______________ and ______________, respectively.

pipeline-492043
quant intermediate

The ratio of two numbers is 4 : 5 and their HCF is 6. Their LCM is:

pipeline-512158
quant intermediate

The sum of the two numbers is 18 and their HCF and LCM are 3 and 54 respectively. What will be the sum of their reciprocals?

pipeline-392059
quant intermediate

The product of 2 numbers is 6750 and their LCM is 450. If the difference between the numbers is equal to their HCF, then find the smaller number.

pipeline-467867
quant intermediate

Three numbers are in the ratio of 5 : 7 : 9 and their LCM is 34,650. Their HCF is:

pipeline-582018
quant intermediate

Two numbers are in the ratio of 5 : 9, and their LCM is 405. Find the numbers.

pipeline-511462
quant intermediate

The HCF and LCM of 2 numbers are 32 and 192. One of the numbers is 64. Find the absolute difference between the numbers.

pipeline-487169
quant intermediate

The HCF of two numbers is one-twentieth of their LCM. If one of the numbers is 96 and the difference of the LCM and the HCF is 456, then what is the other number?

pipeline-465904
quant intermediate

The product of the two numbers is 1500 and their HCF is 10. The number of such possible pairs is/are:

pipeline-443633
quant intermediate

If the LCM and the HCF of two numbers are 12 and 2 respectively, then find the mean proportional of these numbers.

pipeline-534912
quant intermediate

The LCM of two numbers is 660 and their HCF is 5. If one of the numbers is 55, find the other.

pipeline-575765
quant intermediate

Two numbers are in the ratio 12 : 7. If their HCF is 25, find the numbers.

pipeline-574266
quant intermediate

The product of two numbers is 726 and their HCF is 11, then their LCM is:

pipeline-568037
quant intermediate

The HCF and LCM of two numbers are 126 and 9, respectively. If one of the numbers is 18, then what is the other number?

pipeline-446597
quant intermediate

The LCM of two prime numbers x and y (x > y) is 533. The value of 4y - x is:

pipeline-581530
quant intermediate

Find the product of the numbers whose HCF and LCM are 8 and 40 respectively.

pipeline-466328
quant intermediate

The product of the two numbers is 4107. If the HCF of these numbers is 37, then find the L.C.M.

pipeline-624179
quant intermediate

The LCM and HCF of the two numbers are 168 and 6 respectively. If one of the numbers is 24, find the other.

pipeline-21857
quant intermediate

The LCM of two numbers is 840 and their HCF is 7. If one of the numbers is 56, find the other.

pipeline-452199
quant intermediate

The LCM of the two numbers is 4104 and the HCF is 9. If one of the numbers is 171, find the other.

pipeline-391192
quant intermediate

Two numbers are in the ratio of 4 : 3. The product of their HCF and LCM is 2700. The difference between the numbers is:

pipeline-581510
quant intermediate

The HCF of two numbers is 24 and their LCM is 2400. If one of the numbers is 180, then the other number is:

pipeline-487360
quant intermediate

The LCM of two numbers is 120 and the numbers are in the ratio 3 : 8. The sum of the numbers will be:

pipeline-392672
quant intermediate

The HCF and LCM of two numbers are 9 and 126, respectively. Find the larger number, if the ratio between the numbers is 2 : 7.

pipeline-578379
quant intermediate

The ratio of two numbers is 4 : 5, and their HCF is 3. What is their LCM?

pipeline-582134
quant intermediate

The LCM of two numbers is 15 times their HCF. The sum of the LCM and the HCF is 112. If one of the numbers is 49, then the other number is:

pipeline-466971
quant intermediate

Two numbers are in the ratio of 3 : 5. If their HCF is 8, then find the numbers.

pipeline-349272
quant intermediate

The product of the two numbers is 1296. If the H.C.F. of the two numbers is 12, then what is the L.C.M. of the two numbers?

pipeline-356281
quant intermediate

The H.C.F. of the two numbers is 37 and the other two divisors of their Least Common Multiple are 15 and 17. Find the largest number among them.

pipeline-570317
quant intermediate

The HCF of two numbers is 12. Which one of the following can never be their LCM?

pipeline-387337
quant intermediate

The LCM and HCF of two numbers are 1105 and 5. If the LCM is 17 times the first number, then find the two numbers.

pipeline-575783
quant intermediate

The ratio of the two numbers is 5 : 7 and their HCF is 3. Their LCM is:

pipeline-453057
quant intermediate

Two numbers are in the ratio 3 : 4. The product of their HCF and LCM is 2700. The sum of the numbers is:

pipeline-568081
quant intermediate

The HCF and LCM of two natural numbers are 7 and 84, respectively. If one of the numbers is 7, then the difference between the two numbers is:

pipeline-490795
quant intermediate

If the product of two numbers is 2400 and their LCM is 96 then their HCF is

pipeline-33034
quant intermediate

The HCF and LCM of the two numbers are 6 and 3024, respectively. If one of the numbers is 54, then find the other number.

pipeline-490619
quant intermediate

The H.C.F. of the two numbers is 31 and the other two divisors of their Least Common Multiple are 14 and 15. Find the larger number among them.

pipeline-532809
quant intermediate
Page 1 of 5