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what is the relationship of the product of 12 and 20 to the product of the gcf and the Lcm of the two numbers?

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what is the relationship of the product of 12 and 20 to the product of the gcf and-example-1
User Zakir
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Answer:


\text{Product of two numbers}=GCF* LCM

Explanation:

Given : Number 12 and 20.

To find : What is the relationship of the product of numbers to the product of the GCF and the LCM of the two numbers?

Solution :

The relationship of the product of numbers to the product of the GCF and the LCM of the two numbers is


\text{Product of two numbers}=GCF* LCM

Factor the numbers 12 and 20,


12=2* 2* 3


20=2* 2* 5

The GCF of the numbers is


GCF(12,20)=2* 2


GCF(12,20)=4

The LCM of the numbers is


LCM(12,20)=60

Now we verify the relationship,

LHS,
\text{Product of two numbers}=12* 20


\text{Product of two numbers}=240

RHS,
GCF* LCM=4* 60


GCF* LCM=240

LHS=RHS

User Mikejd
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