Home » Problems on H.C.F and L.C.M – Questions and Answers – Quiz 2

# Problems on H.C.F and L.C.M – Questions and Answers – Quiz 2

1. Find the lowest common multiple of 24, 36 and 40.
120
240
360
480

2. The least number which should be added to 2497 so that the sum is exactly divisible by 5, 6, 4 and 3 is:
3
13
23
33

3. Reduce 128352/238368 to its lowest terms.
3/4
5/13
7/13
9/13

4. The least number which when divided by 5, 6 , 7 and 8 leaves a remainder 3, but when divided by 9 leaves no remainder, is:
1677
1683
1683
3363

5. A, B and C start at the same time in the same direction to run around a circular stadium. A completes a round in 252 seconds, B in 308 seconds and c in 198 seconds, all starting at the same point. After what time will they again at the starting point ?
26 minutes and 18 seconds
42 minutes and 36 seconds
45 minutes
46 minutes and 12 seconds

6. 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:
279
283
308
318

7. What will be the least number which when doubled will be exactly divisible by 12, 18, 21 and 30 ?
196
630
1260
2520

8. The ratio of two numbers is 3 : 4 and their H.C.F. is 4. Their L.C.M. is:
12
16
24
48

9. The smallest number which when diminished by 7, is divisible 12, 16, 18, 21 and 28 is:
1008
1015
1022
1032

10. 252 can be expressed as a product of primes as:
2 x 2 x 3 x 3 x 7
2 x 2 x 2 x 3 x 7
3 x 3 x 3 x 3 x 7
2 x 3 x 3 x 3 x 7

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