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LCM and HCF
Problems on HCF and LCM
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Question 1
The HCF of two numbers is 36, and their LCM is 1296. If one of the numbers is 144, what is the other number?
288
324
216
252
Question 2
The LCM of two numbers is 30, and their HCF is 15. If one of the numbers is 30, what is the other?
30
10
15
20
Question 3
A, B and C start at the same time in the same direction to run around a circular track. A completes a round in 252 seconds, B in 308 seconds and C in 198 seconds, all starting at the same point. When will they meet again at the starting point?
26 minutes 18 seconds
42 minutes 36 seconds
45 minutes
46 minutes 12 seconds
Question 4
The HCF of two numbers is 15, and their LCM is 180. If one of the numbers is 45, what is the other number?
60
30
75
90
Question 5
The product of two number is 4107. If the HCF of these numbers is 37, then the greater number is:
101
107
111
185
Question 6
Two numbers are in the ratio of 5:7. If their LCM is 105, what is the difference between their squares ?
216
210
72
840
Question 7
The sum of two numbers is 528 and their HCF is 33. The number of pairs of numbers satisfying the above condition is:
4
6
3
5
Question 8
HCF of two numbers is 11 and their LCM is 385. If the numbers do not differ by more than 50, what is the sum of the two numbers ?
- 132
- 35
- 12
- 36
Question 9
The least number which when divided by 5, 6, 7 and 8 leaves a remainder of 3, but when divided by 9 leaves no remainder, is:
1677
1683
2523
3363
Question 10
What is the least number which when divided by 4, 5, 6 and 7 leaves a remainder 3, but when divided by 9 leaves no remainder?
1683
417
843
423
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There are 10 questions to complete.
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