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If the LCM and HCF of any two numbers are 15 and 4 respectively, find the product of the numbers.

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To find the product of two numbers given their least common multiple (LCM) and highest common factor (HCF), you can use the relationship between the product, LCM, and HCF of two numbers. Let the two numbers be xx and yy. Given: LCM of xx and yy = 15 HCF of xx and yy = 4 We know that the product...
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To find the product of two numbers given their least common multiple (LCM) and highest common factor (HCF), you can use the relationship between the product, LCM, and HCF of two numbers.

Let the two numbers be xx and yy.

Given:

  1. LCM of xx and yy = 15
  2. HCF of xx and yy = 4

We know that the product of two numbers is equal to the product of their LCM and HCF. That is:

x×y=LCM(x,y)×HCF(x,y)x×y=LCM(x,y)×HCF(x,y)

Substitute the given values:

x×y=15×4x×y=15×4

x×y=60x×y=60

So, the product of the two numbers is 6060.

 
 
 
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