Question

lcm 9 10 45 step by step

Answer 1

Answer:

lcm of 9,10,45 is 3×3×5×2×1=90

Step-by-step explanation:

3=9,10,45

3=3,10,15

5=1,10,5

2=1,2,1

1=1,1,1

Answer 2

Given: The numbers are$9,10,\ and\ 45$

We have to find the LCM of the above numbers.

We are solving in the following way:

We have, the numbers are$9,10,\ and\ 45$

First, we will find the all prime factors for each number.

Prime Factorization of 9 is:

$3 \times 3 => 3^{2}$

Prime Factorization of 10 is:

$2 \times 5 => 2^1 \times 5^1$

Prime Factorization of 45 is:

$3 \times 3 \times 5 => 3^2 \times 5^1$

Now, for each prime factor, we will find where it occurs most often as a factor and write it that many times in a new list.

The new superset list is

$2, 3, 3, 5$

Multiplying these factors together to find the LCM:

LCM = $2 \times 3 \times 3 \times 5 = 90$

In exponential form:

LCM = $2^1 \times 3^2 \times 5^1 = 90$

LCM = 90

Therefore,

LCM$(9, 10, 45) = 90$

Hence, the LCM of $9,10,\ and\ 45$ is$90$.