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Question
The least number which when divided by 6, 9, 12 and 18 leaves no remainder is
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Solution
6 = 2 × 3 = 21 × 31
9 = 3 × 3 = 32
12 = 2 × 2 × 3 = 22 × 31
18 = 2 × 3 × 3 = 21 × 32
LCM of 6, 9, 12 and 18 = 22 × 32 = 36
Hence, the least number which when divided by 6, 9, 12 and 18 leaves no remainder is 36
9 = 3 × 3 = 32
12 = 2 × 2 × 3 = 22 × 31
18 = 2 × 3 × 3 = 21 × 32
LCM of 6, 9, 12 and 18 = 22 × 32 = 36
Hence, the least number which when divided by 6, 9, 12 and 18 leaves no remainder is 36
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