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Maurinko [17]
3 years ago
14

What is the lcm of 56 and 136

Mathematics
1 answer:
Citrus2011 [14]3 years ago
8 0

Answer:

LCM(56,136)=952

Step-by-step explanation:

To find the LCM of two numbers, factorize both these numbers:

56=2\cdot 28=2\cdot 2\cdot 14=2\cdot 2\cdot 2\cdot 7=2^3\cdot 7\\ \\136=2\cdot 68=2\cdot 2\cdot 34=2\cdot 2\cdot 2\cdot 17=2^3\cdot 17

These two numbers have the common factor of 2^3.

Now multiply this common factor by the remaining factors:

LCM(56,136)=2^3 \cdot 7\cdot 17=952

Therefore, the LCM is 952.

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