H.C.F and L.C.M of Numbers with Explanation

Q8. The L.C.M. of two numbers is 45 times their H.C.F. If one of the numbers is 125 and the sum of H.C.F. and L.CM. is 1150, the other number is:

A. 220 B. 215
C. 235 D. 225

Q9. The small fraction, which each of , , will divide exactly, is:

A.
50

294
B.
60

147
C.
30

98
D.
30

7

Q10. What is the least number which when divided by 16, 18, 20 and 25 leaves 4 as remainder in each case, but when divided by 7 leaves no remainder.

A. 18004 B. 18002
C. 17004 D. 18000

Q11. The H.C.M. and L.C.M. of two numbers are 11 and 385 respectively. If one of number lies between 75 and 125, then that number is:

A. 99 B. 110
C. 88 D. 77

Q12. The ratio of two numbers is 3 : 4 and their H.C.F. is 4. Their L.C.M. is:

A. 16 B. 48
C. 12 D. 24

Q13. The L.C.M. of , , , is:

A.
1

36
B.
12

455
C. 36 D.
1

1365

Q14. The product of two numbers is 1320 and their H.C.F. is 6. The L.C.M. of numbers is:

A. 220 B. 1326
C. 7920 D. 1314