Question

the lcm of two consecutive even number is 144 find number​

Answer 1

Answer:

LCM → Lowest common multiple

The LCM of two numbers is that smallest number,which is divisible by both the number.

it is given that, the LCM of two consecutive even number = 144

→Factors of 144

144=2×2×2×2×3×3

If ,you will check out the numbers which divide ,144 or the factors of 144 , these are →1,2,3,4,6,8,9,12,16,18,24,36,48,72,144.

→The two consecutive number which divides ,144, are 16 and 18.

Factors of 16,and 18

16=2×2×2×2

18=2×3×3

LCM(16,18)=2×2×2×2×3×3

     =144

So,the two numbers are ,16 and 18.