Question

SHOW THAT THE L.C.M OF 216, 180 AND 450 IS 5400.​

Answer 1

see the proof in the picture...

Answer 2

Question.

SHOW THAT THE L.C.M OF 216, 180 AND 450 IS 5400.​

solution:- Given, 216, 180 AND 450 IS 5400

              ⇒ First we find the prime factor of 216,180,and 450

                              ⇒   180 = 2² • 3² • 5  

                                ⇒ 216 = 2³ • 3³

                               ⇒  450 = 2 • 3² • 5²

The least common multiple is the product of all factors in the greatest number of their occurrence.

LCM =  2x2x2x3x3x3x5x5

 LCM = 5400

The least common multiple of 180, 216 and 450 is 5400.