Question

find the lcm of 15 30 90

Answer 1

15 = 3 ☓ 5

30 = 2 ☓ 3 ☓ 5

90 = 2 ☓ 3 ☓ 3 ☓ 5

Lcm = 3 ☓ 3 ☓ 5 ☓ 2 = 90

Hence 90 is the lcm of 15, 30, 90

Answer 2

Answer:

=> LCM is 90.

Step-by-step explanation:

As per the given data,

We have to find the LCM.

Given numbers:-

15, 30, and 90

First we have to find the prime factors,

So, the prime factors of 15 are $3$ and $5$.

The prime factors of $30$ are $2$, $3$, and $5.$

The prime factors of $90$ are $2$, $3$,

Now, we have to find the most number of occurrences of each prime factor $(2, 3, 5)$ in the factorization:

The prime factors $2$ and $5$ appear only once, while $3$ appears multiple times.

The product among all factors with the largest number of occurrences is the lowest common multiple.

$=> LCM=2\times3\times3\times5$

$=>LCM=2\times3^2\times5$

$=>LCM =90$