LCM and HCF MCQs

What will be the least number which when doubled will be exactly divisible by 12, 18, 21 and 30?

A. 196
B. 630
C. 1260
D. 2520

The smallest fraction, which each of 6/7, 5/14, 10/21 will divide exactly is ____?

A. 30/7
B. 30/98
C. 60/147
D. 50/294

The least number of four digits which is divisible by 15, 25, 40 and 75 is _____?

A. 9000
B. 9400
C. 9600
D. 9800

The least number which should be added to 2497 so that the sum is exactly divisible by 5, 6, 4 and 3 is:

A. 3
B. 13
C. 23
D. 33

The greatest number which on dividing 1657 and 2037 leaves remainders 6 and 5 respectively, is ____?

A. 123
B. 127
C. 235
D. 305

Which of the following has the most number of divisors?

A. 99
B. 101
C. 176
D. 182

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

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

Greatest Common Divisor of two numbers is 8 while their Least Common Multiple is 144. Find the other number if one number is 16.

A. 108
B. 96
C. 72
D. 36

LCM of two numbers is 138. But their (Greatest common divisor) GCD is 23. The numbers are in a ratio 1:6. Which is the largest number amongst the two?

A. 46
B. 138
C. 69
D. 23

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