Question

The product of two numbers is equal to the product of their and.

Answer 1

Answer:

There exists a theorem stating that for any two positive integers and , the product of their greatest common factor (GCF) and their least common multiple (LCM) is equal to the product.

Answer 2

In this question we need to tell that product of two numbers is equal to the product of which.

• LCM × HCF = Product of two numbers
• When we find the LCM and HCF of the numbers and the product of their LCM and HCF it is always equal to the product of the respective numbers.
• For example-  We need to find the HCF and LCM of 12, 8
• LCM of 12 and 8 is 24 and HCF will be 4.
• Then the product of the LCM and HCF will be 96
• And the product of the numbers 12 and 8 is 96.
• Hence, it is proved that the product of the LCM and HCF is equal to the product of their numbers.

PROJECT CODE #SPJ3

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