Question

Find the LCM of 24,60,and 150 by fundamental theorem of arithmetic

Answer 1

hope this helps you.....

Answer 2

Answer:

The LCM(24,60,150)=600

Step-by-step explanation:

Given : Numbers - 24,60,150

To find : The LCM of 24,60,and 150 by fundamental theorem of arithmetic.

Solution :

Fundamental theorem of arithmetic state that every integer greater than 1 is prime number or presented as product of prime factorization also know as unique prime factorization.

Now, factor of number 24,60 and 150

$24=2\times2\times2\times3$

$60=2\times2\times3\times5$

$150=3\times5\times2\times5$

LCM is the least common multiple

LCM (24,60,150)= $2\times2\times2\times3\times5\times5= 600$

Therefore, The LCM(24,60,150)=600