find the number lying between 300 and 400 which is divisible by 6,8,10 and 12.

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A number lying between 300 and 400 has to be determined that is divisible by 6, 8, 10 and 12. Expressed as a product of prime numbers:

6 = 3*2

8 = 2^3

10 = 2*5

12 = 2^2*3

The lowest common multiple of 6, 8, 10 and 12 is 3*8*5 = 120. The multiple of 120 that lies between 300 and 400 is 360.

The number lying between 300 and 400 that is divisible by 6, 8, 10 and 12 is 360.

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