Question

if the Hcf of 72 and 120 is 24 ,their L.C.M is ,​

Answer 1

Answer:

Q:If HCF (72,120)=24,then find LCM(72,120)

= LCM = 72*120 / HCF = 8640 / 24 = 360. Therefore, LCM of 72 120 = 360.

Answer 2

Final Answer:

The LCM of the numbers 72 and 120 is 360 whose HCF is 24.

Given:

The HCF of the numbers 72 and 120 is 24.

To Find:

The LCM of the numbers 72 and 120.

Explanation:

Take note of the following points for the solution to the present problem.

• HCF is the short form of the Highest Common Factor.
• LCM is the short form of the Least Common Multiple.
• The product of two numbers is equal to the product of their LCM and HCF.

Step 1 of 2

The product of the two numbers 72 and 120 is

$=72\times 120\\=8640$

Step 2 of 2

Since the product of the LCM and HCF is 8640 and the HCF is 24,

The LCM of the two numbers 72 and 120 is

$=\frac{8640}{24} \\=360$

Therefore, the required LCM of the numbers 72 and 120 is 360 whose HCF is 24.

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