Question

Hcf of two numbers is 12 and lcm is 180 .one number is 36 .what is the other Number?

Answer 1

Heya !!!




HCF of two numbers = 12


LCM of two numbers = 180



one number = 36


Other Number = ?



We know that,


One number× Other Number = HCF × LCM



36 × Other Number = 12 × 180

Other Number = ( 12 × 180)/36


Other Number = 60.


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Answer 2

The other number is 60.

Given:

First number= 36

HCF of the numbers= 12

LCM of the numbers= 180

To Find:

The value of the other number.

Solution:

Let the other number be x.

We know that,

• The greatest number that divides each of the given numbers without leaving a remainder is known as the highest common factor (HCF) of two or more given numbers.
• The smallest common multiple of two or more numbers is known as the lowest common multiple (LCM).
• According to the HCF and LCM formula, the product of any two numbers is equal to the product of their HCF and LCM.
• The LCM and HCF formula of two numbers 'a' and 'b' is given as HCF × LCM = a × b.

Now, it is given in the question that,

HCF= 12, LCM=180, One number= 36

So,

HCF × LCM = a × b

or, 12 X 180= 36 X x

or, 36x= 2160

or, x= 2160/36

or, x= 60

Therefore, the other number is 60.

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