find the smallest which when divided by 12 15 18 24 and 36 leaves no remainder
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THE smallest number which when divided by 12 15 18 24 and 36 leaves no remainder is 3
12 15 18 24 and 36 are all divisible by 3 .hence they will not leave any remainder except 0
the divisibility test for 3 is that the sum of the digits should add up to any multiple of 3
12
1+2=3,hence 12 is divisible
1+5=6,hence 15 is divisible
1+8=9,hence 18 is divisible
2+4=6,hence 24 is divisible
3+6=9,,hence 36 is divisible
as 3,6,9 are all multiples of 3 it is proved that 12 15 18 24 and 36 are divisible by 3
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