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Question

What is the LCM of 7,10 and 4?


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Solution

Express the given numbers as product of their prime factors to find the LCM

Given numbers, 7,10 and 4


7=7×1=7110=2×5=21×514=2×2=22

LCM can be calculated by multiplying the prime factors raised to their highest powers

LCM=22×51×71

=4×5×7

LCM=140

Hence the LCM of 7,10 and 4 is 140


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