Question

LCM of 25,40,80 and100​

Answer 1

Here's what you need

Hope it helps?

Answer 2

Given :

• 25, 40, 80, and 100.

To find :

• the LCM of 25,40, 80, and 100.

Solution :

⇒ Let's use the Prime Factorisation method to find the LCM.

$\Large \begin{array}{c|c} \underline{\sf {2}}&\underline{\sf { \: \: \: 25,40,80,100 \: \: \: }} \\ \underline{\sf {2}}&\underline{\sf {\; \; 25,20,40,50\; \; \: }}\\ \underline{\sf {5}}&\underline{\sf {\; \; 25,10,20,25 \; \; \: }} \\\underline{\sf {5}}&\underline{{\sf \; \;5,2,4,5\; \; \; }} \\\underline{\sf {2}}&\underline{{\sf \; \;1,2,4,1\; \; \; }} \\\underline{\sf {2}}&\underline{{\sf \; \;1,1,2,1\; \; \; }} \\\underline{\sf {}}&\underline{{\sf \; \;1,1,1,1\; \; \; }} \end{array}$

⇒ Now, let's multiply them all.

LCM of 25, 40, 80, and 100​ = 2 × 2 × 5 × 5 × 2 × 2

= 4 × 5 × 5 × 2 × 2

= 20 × 5 × 2 × 2

= 100 × 2 × 2

= 200 × 2

= 400

• Therefore, the LCM of 25, 40, 80, and 100 is 400.