Question

find the lcm of 96 and 360 dy using fundamental theorem of arithmetic

Answer 1

Answer:

The LCM of 96 and 360 using fundamental theorem of arithmetic is 1440.

Step-by-step explanation:

Given : Number 96 and 360.

To find : The LCM of 96 and 360 using fundamental theorem of arithmetic ?

Solution :

Fundamental theorem of arithmetic states that every composite number can be expressed as a product of powers of primes, and this factorization is unique, apart from the order in which the prime factors occur.

So, We factories the number 96 and 360

$96=2\times 2\times 2\times 2\times 2\times 3$

$360=2\times 2\times 2\times 3\times 3\times 5$

$LCM(96,360)=2\times 2\times 2\times2\times 2\times 3\times 3\times 5$

$LCM(96,360)=1440$

Therefore, The LCM of 96 and 360 using fundamental theorem of arithmetic is 1440.

Answer 2

Answer:

please see the attachment...