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Question

Find the least 5-digit number which is exactly divisible by 20, 25, 30.

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Solution

Least five digit number = 10000

L.C.M. of 20,25,30 is 300.
But we want the least five digit number which is divisible by 20, 25, 30.
So, we will multiply the L.C.M. by a number that makes it the least five digit number divisible by 20, 25, 30.
300×31 = 9300
300×32 = 9600
300×33 = 9900
300×34 = 10200

So, the least five digit number divisible by 20, 25, 30 is 10200.

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