Question

Which two consecutive even nymber have a lcm of 180?

Answer 1

The L.C.M of Two Even number is 180

Answer 2

Answer:

(18and 20)

Step-by-step explanation:

let one even number be ...x

next consecutive even number will be ....(x+2)

LCM of two consecutive number

{(x)×(x+2)}÷2. =180

x^2 + 2x =360

x^2 + 2x - 360 =0

x^2 +20x -18x -360 =0

(factories by splitting middle term )

x(X+20)-18(X+20)=0

x-18=0 or X+20 =0

X=18 or X=-20

we take positive number 18

if one even number is 18 then next even number will be 20

LCM of 18 and 20 =180

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