Question

the product of two numbers is 432.find the LCM, if their HCF is 6

Answer 1

Given HCF = 6  and Product = 432

We know that product of two numbers  = HCF * LCM

                   LCM = Product of two numbers/HCF

                           = 432/6

                           = 72.

Answer 2

The LCM of two numbers is 72 if HCF and product of two numbers are 6 and 432.

Given :  

Product of two numbers = 432

HCF of two numbers = 6

To find :  LCM of two numbers

Formula used :

HCF × LCM = first number  ×  Other number

HCF × LCM = Product of two numbers

SOLUTION :  

Step 1 : Substitute the value of HCF , and Product of two numbers in the above formula:

HCF of two numbers = 6 , Product of two numbers = 432

As we know that,  

HCF × LCM = Product of two numbers

6 × LCM = 432

LCM =  432 ÷ 6

LCM = 72

Hence, the LCM of two numbers is 72.

Learn more on Brainly:

If HCF (26, 169) = 13, then LCM (26, 169) =

brainly.in/question/15917259

Find the LCM and HCF of the following pairs of integers and verify that LCM x HCF = product of the integers:

(i)26 and 91

(ii)510 and 92

brainly.in/question/6695467

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