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Problems on L.C.M and H.C.F Questions and Answers
Q1. The H.C.F. of two numbers is 8. Which one of the following can never be their L.C.M. ?
A. 24
B. 60
C. 56
D. 48
Q2. The sum of two numbers is 216 and their H.C,F. is 27. The numbers are :
A. 27, 189
B. 108, 108
C. 81, 189
D. 154, 162
Q3. 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. 70
C. 90
D. 46
Q4. The product of two numbers is 4107. If the H.C.F. of these numbers is 37, then the greater number is :
A. 101
B. 107
C. 111
D. 185
Q5. 252 can be expressed as a product of primes as:
A. 2 × 3 × 3 × 3 × 7
B. 3 × 3 × 3 × 3 × 7
C. 2 × 2 × 3 × 3 × 7
D. 2 × 2 × 2 × 3 × 7
Q6. 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. 322
B. 345
C. 276
D. 299
Q7. Which of the following has the most number of divisors ?
A. 99
B. 101
C. 176
D. 182
Q8. The greatest possible length which can be used to measure exactly the lengths 7 m, 3 m 85 cm, 12 m 95 cm is :
A. 15 cm
B. 35 cm
C. 25 cm
D. 42 cm
Q9. 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
Q10. Find the lowest common multiple of 24, 36 and 40.
A. 120
B. 240
C. 480
D. 360
