Part A: Find the LCM of 7 and 12. Show your work. (3 points)

Part B: Find the GCF of 56 and 96. Show your work. (3 points)

Part C: Using the GCF you found in Part B, rewrite 56 + 96 as two factors. One factor is the GCF and the other is the sum of two numbers that do not have a common factor. Show your work. (4 points)

Respuesta :

The LCM of 7 and 12 is 84 and GCF of 56 and 96 is 8, 56+96 can be written as 8(19).

What is LCM?

It is defined as the common number of two integers, which is the lowest number that is a multiple of the two or more numbers. The full name of LCM is the least common multiple.

LCM of 7 and 12:

7 can be divided by 7

Factor of 12 is 2×2×3

So the LCM = 7×2×2×3 = 84

For GCF:

We know:

GCF(56, 96) = (56×96)/LCM(56, 96)

GCF(56×96) = (56×96)/672 = 8

= (56 + 96)

= 8(7+12)

= 8(19)

Thus, the LCM of 7 and 12 is 84 and GCF of 56 and 96 is 8, 56+96 can be written as 8(19).

Learn more about the LCM here:

brainly.com/question/20739723

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