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First, find the prime factors of 12,20:

12=2*2*3

20=2*2*5

Now, compute the LCM by multiplying the factors (count duplicates once):

LCM=2*2*3*5=60

Only the multiples of the LCM will be divisible by 12 and 20:

60,120,180,240,300,360,420,480,540...

{420,480}

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Q: How many number between 400 and 500 which is exactly divisible by 12 and 20?
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