Question

The product of two numbers is 240 and the HCF is 6. What is their LCM
Please give me answer key of exercise 2.6 question 3 please give me answer Key please

Answer 1

Answer:

40

Step-by-step explanation:

product if 2 no.= H.C.F of 2 no. × L.C.M of 2 no.

240 = 6 × L.C.M

L.C.M = 240/6

L.C.M = 40.

Answer 2

Given: Product of two numbers = 240

           Highest Common Factor (HCF) of those numbers = 6

To find: The Least Common Multiple (LCM) of the numbers

Solution:

According to the given question,

Product of two numbers is 240 and their Highest Common Factor is 6.

We know that,

∵ Product of two numbers  = Highest Common Factor × Least Common Multiple

i.e.,

⇒ 240 = 6 × Least Common Multiple

⇒ Least Common Multiple = $\frac{240}{6} = 40$

Hence, Least Common Multiple of the two numbers whose product is 240 and Highest Common Factor is 6, is 40.