Question

7. The H. C.F. of two numbers is 2 and their product is 56. What will be the L. C.M. ​

Answer 1

Answer:

28

Explanation:

2 and 28's HCF is 2 and their product will be 56. So their LCM is 28.

Answer 2

Answer -

• The LCM of the numbers = 28.

To find -

• The LCM of the numbers.

Step-by-step explanation -

• Here, the HCF of two numbers and their product are given to us. We have to find their LCM.

We know that -

$\bigstar \: \underline{\boxed{\sf Product_{(two\: numbers)} = HCF \times LCM}}$

Here -

• Product of the numbers = 56.
• Their HCF = 2.

Let -

• The LCM of the two numbers be "y".

Then -

$\rm \implies56 = 2 \times y$

$\rm \implies56 = 2y$

$\implies \rm \cancel{\dfrac{56}{2}} = y$

$\implies \rm28 = y$

Hence -

• The LCM of the numbers = 28.

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