Question

Find the smallest square number that is divisible by each of the numbers, 7 , 14 and 18.

Answer 1

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Answer 2

Concept

The least common multiple, abbreviated LCM, of two integers, such as a and b, is used in mathematics (a,b). And the least common multiple (LCM) is the smallest or least positive integer that is divisible by both a and b.

Given

The divisible numbers given are 7 , 14  and 18

Find

We need to find he smallest square number that is divisible by each of the numbers, 7 , 14 and 18.

Solution

The L.C.M of 7 ,14,18 is 126

Now the factors are 7*2*3*3

Where 2 and 7 are the lest common

Multiplying 2 and 7 with 126

We get ,

126*2*7 = 1764

Hence the smallest square number is 1764

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