Question

What is the difference between lcm and hcf of 24, 36 and 40

Answer 1

Answer:

LCM stands for the Lowest Common Multiple of the numbers suggested.

HCF stands for the Highest Common Factor of the numbers suggested.

Alright. Now let’s break down 24, 40 and 48 into the products of their prime numbers.

24 = 2^3 x 3

40 = 2^3 x 5

48 = 2^3 x 6

In order to find the HCF of these three numbers, we need to find what is common between the three numbers.

Since the common number is 2^3,

HCF = 2^3 = 8

In order to find the LCM of these three numbers, we need to use the numbers of the highest degree.

LCM is, hence, equal to; 2^3 x 3 x 5 x 6 = 720

If you are looking for a Mathematical difference between the HCF and the LCM of these numbers, it is basically,

difference = 720 - 8 = 712

Step-by-step explanation: