Question

Find the smallest 4-digit number which is
divisible by 12, 24 and 36 exactly.
​

Answer 1

Answer:

1008

Step-by-step explanation:

L.C.M of 12, 24, 36:

Multiples of 12 = 12, 24, 36, 48, 60, 72, ....

Multiples of 24 = 24, 48, 72, ...

Multiples of 36 = 36, 72, ...

(U can use prime factorisation method - It's faster)

∴ L.C.M = 72

∴ Smallest 4 digit number divisible by 12, 24, 36 is a multiple of 72.

72 * 14 = 1008

Therefore, smallest 4 digit number divisible by 12 24, 36 is 1008

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