Question

what will be a least number which when divided by 12,21,35 leaves a remainder 6 in each case
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Answer 1

Step-by-step explanation:

Find the LCM as follows

12 = 2 x 2 x 3

35 = 5 x 7

21 = 3 x 7

LCM = 2 x 2 x 3 x 5 x 7 = 420.

Next add 6 to 420 to get 426 as the answer.

Check:

12

426

= 35 as quotient and 6 as remainder. Correct.

35

426

= 12 as quotient and 6 as remainder. Correct.

21

426

= 20 as quotient and 6 as remainder. Correct