180 is the lcm of 12 and a number, N .What are the possible values of N ?
180 is the least common multiple of 12 and 45 or 90:
12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144, 156, 168, 180, 192, ...
45, 90, 135, 180, 225, ...
90, 180, 270, ...
Answer:
45 ,90
Step-by-step explanation:
We are given that LCM of 12 and number N is 180.
In order to find the number we will find the factors of 180 and 12
\(180=2\times 2\times 3\times 3\times 5\)
\(12=2\times 2\times 3\)
\(45=3\times 3\times 5\)
\(90=2\times 3\times 3\times 5\)
LCM(12,45)=\(2\times 2\times 3\times 3\times 5=180\)
LCM(12,90)=\(2\times 2\times 3\times 3\times 5=180\)
LCM of 12 and 45 is 180
LCM of 12 and 90 is 180.
Hence, possible of N is 45 and 90.