Question

Find the least number which when divided by 60, 75 and 80 leaves remainder 12 in each case.​

Answer 1

Answer:

=1061

Step-by-step explanation:

25 = 5 x 5

30 = 3 x 2 x 5

70 = 5 x 2 x7

Common factors = 5 x 2 = 10

uncommon factors = 7 x 3 x 5 = 105

L.C.M = Common factors x uncommon factors

L.C.M = 10 x 105 = 1050

The least number which when divided by 25,30,70 leaves remainder 11 is 1050 + 11 = 1061

Ans: 1061