Answered

Get detailed and accurate responses to your questions on IDNLearn.com. Get accurate and detailed answers to your questions from our knowledgeable and dedicated community members.

180 is the lcm of 12 and a number, N .What are the possible values of N ?

Sagot :

SlowZasobidn
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, ...
Lublanaidn

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

[tex]180=2\times 2\times 3\times 3\times 5[/tex]

[tex]12=2\times 2\times 3[/tex]

[tex]45=3\times 3\times 5[/tex]

[tex]90=2\times 3\times 3\times 5[/tex]

LCM(12,45)=[tex]2\times 2\times 3\times 3\times 5=180[/tex]

LCM(12,90)=[tex]2\times 2\times 3\times 3\times 5=180[/tex]

LCM of 12 and 45 is 180

LCM of 12 and 90 is 180.

Hence, possible of  N is 45 and 90.