Question

write two consequtive even numbers whose lcm is 180​

Answer 1

Answer:

360 = 2 x 2 x 2 x 3 x 3 x 5 360 = (2 x 3 x 3) x (2 x 2 x 5) = 18 x 20 ∴ The two consecutive even numbers whose LCM is 180 are 18 and 20.

Answer 2

Answer:

18 and 20.

Step-by-step explanation:

LCM of two consecutive even numbers = 180

But, HCF of two consecutive even numbers = 2 Now, product of the given number = HCF x LCM = 2 x 180 = 360

To find the two consecutive even numbers, we have to factorize 360. 360 = 2 x 2 x 2 x 3 x 3 x 5 360 = (2 x 3 x 3) x (2 x 2 x 5) = 18 x 20

∴ The two consecutive even numbers whose LCM is 180 are 18 and 20.

Hope it helps you.