vikiferancikova vikiferancikova
  • 02-03-2020
  • Mathematics
contestada

what is the lcm of 56 and 136

Respuesta :

frika
frika frika
  • 10-03-2020

Answer:

[tex]LCM(56,136)=952[/tex]

Step-by-step explanation:

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

[tex]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[/tex]

These two numbers have the common factor of [tex]2^3.[/tex]

Now multiply this common factor by the remaining factors:

[tex]LCM(56,136)=2^3 \cdot 7\cdot 17=952[/tex]

Therefore, the LCM is 952.

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