Find least common four digit number which is divisible by 18,24,32
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Answer: 1152 is the least four digit number divisible by 18, 24 and 32.
Step-by-step explanation:
LCM of 18, 24 and 32:
⇒ 18 = 2 x 3 x 3
⇒ 24 = 2 x 2 x 2 x 3
⇒ 32 = 2 x 2 x 2 x 2 x 2
LCM = 2 x 2 x 2 x 2 x 2 x 3 x 3 = 288.
The least four digit number that is divisible by 288:
288 x 3 = 864
288 x 4 = 1152
Therefore, 1152 is the least four digit number divisible by 18, 24 and 32.
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