Question 59

What is the least number consisting of five digits that is exactly divisible by 12, 18, 20 and 25?

Solution

Least 5 digit number = 10000
LCM of 12, 18, 20 and 25 = 900
10000 = 11*900+100
Next term will be 12*900 = 10800
Hence, 10800 will be divisible by 12, 18, 20 and 25.


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