LCM and HCF MCQs

The L.C.M of two numbers is 48. The numbers are in the ratio 2:3. The sum of numbers is ____?

A. 28
B. 32
C. 40
D. 64

Three numbers are in the ratio 3:4:5 and their L.C.M is 2400. Their H.C.F is:

A. 40
B. 80
C. 120
D. 200

The H.C.F and L.C.M of two numbers are 84 and 21 respectively. If the ratio of the two numbers is 1:4, then the larger of the two numbers is _____?

A. 12
B. 48
C. 84
D. 108

The H.C.F of two numbers is 11 and their L.C.M is 7700. If one of the numbers is 275, then the other is _____?

A. 279
B. 283
C. 308
D. 318

The L.C.M of two numbers is 495 and their H.C.F is 5. If the sum of the numbers is 10, then their difference is ____?

A. 10
B. 46
C. 70
D. 90

If the sum of two numbers is 55 and the H.C.F and L.C.M of these numbers are 5 and 120 respectively, then the sum of the reciprocal of the numbers is equal to ___?

A. 55/601
B. 601/55
C. 11/120
D. 120/11

Product of two co-prime numbers is 117. Their L.C.M should be ______?

A. 1
B. 117
C. equal to their H.C.F
D. Cannot be calculated

The H.C.F of two numbers is 8. Which of the following can never be their L.C.M?

A. 24
B. 48
C. 56
D. 60

The H.C.F of two numbers is 23 and the other two factors of their L.C.M are 13 and 14. The larger of the two numbers is _____?

A. 276
B. 299
C. 322
D. 345

Which of the following fractions is the largest?

A. 7/8
B. 13/16
C. 31/40
D. 63/80

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