Question

6. Find the smallest number which when divided by 39,52 and 65, leaves a
remainder of 5 in each case.​

Answer 1

Answer:

Find LCM:

39 = 3 x 13

52 = 2² x 13

65 = 5 x 13

LCM = 2² x 3 x 5 x 13 = 780

Since there is a remainder if 5, we will add 5 to the answer:

780 + 5 = 785

Check:

785 ÷ 39 = 20 Remainder 5

785 ÷ 52 = 15 Remainder 5

785 ÷ 65 = 12 Remainder 5