What will be the least number which when divided by 12,21,35 leaves a remainder 5 in each case.
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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:
426/12=35 as quotient and 6 as remainder
426/35 = 12 as quotient and 6 as remainder
426/21=20 as quotient and 6 as remainder. Correct.
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