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

Sagot :

SlowZasob
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, ...
lublana

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.

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