Question

If the HCF and the LCM of 36 and x are 6 and 180 respectively, the value of x will be:
(A) 180
(B) 36
(C) 30​

Answer 1

Answer:

option C) 30

Step-by-step explanation:

Given :

• The two numbers are 36 and x
• HCF of the numbers = 6
• LCM of the numbers = 180

To find :

the value of x

Solution :

We know,

HCF × LCM = The product of the two numbers

6 × 180 = 36 × (x)

 36x = 1080

  x = 1080/36

  x = 30

∴ The value of x is 30

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#Know more :

HCF (Highest Common Factor) :

• The HCF is the greatest factor present in between given two or more numbers i.e., the greatest number which can divide the given numbers.

• HCF is also known as Greatest Common Divisor (GCD)

LCM (Least Common Multiple) :

• The LCM is the smallest number that is a multiple of two or more numbers.

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Answer 2

Answer:

Answer will be 30

Step-by-step explanation:

LCM*HCF=Product of two no.

6*180=36*x

1080=36x

x=1080/36

=30