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Question

A number is divisible by 5and 8 both. By what other numbers will that number be always divisible?


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Solution

5and 8 are co-prime numbers as the highest common factor of 5and 8 is 1.

if the numbers are divisible by 5and 8 then it would be divisible by LCM of 5and 8

LCM of 5and 8 = 5×8=40

Consider the number to be 80 and you can take any multiple of 40like 80,120,160,200 etc.

Hence, 80 is divisible by 5and 8 and other number 40.


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