Question

the product of two numbers is 2160 and the HCF is 16. Then the LCM of these numbers is​

Answer 1

Answer:

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Step-by-step explanation:

The HCF is the highest common factor or the largest number that divides 2 or more numbers.

 

The product of HCF and LCM of any 2 numbers is always equal to the product of 2 numbers.

Thus we got the LCM of two numbers as 180.

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Answer 2

Given :

• The product of two numbers is 2160.

• The HCF of these numbers is 16.

To Find :

• The LCM of these numbers.

Solution :

We know that there is a relationship between two numbers and their LCM and HCF which is as follows :

→ Product of numbers = LCM × HCF

We know :-

→ 2160 = LCM × 16

So,

→ LCM = 2160/16

→ LCM = 135

So, the LCM of the given numbers is 135.

Relationship :-

→ LCM × HCF = Product of numbers

The product of two numbers is equal to the product of the LCM and the HCF of the given numbers.

This can be expressed as :-

→ Product of numbers = LCM × HCF

So, in order to find LCM,

→ LCM = Product of numbers/HCF

And to find HCF,

→ HCF = Product of numbers/LCM