How to Find the LCM of 322 and 330?

LCM of 322 and 330

Created By : Bhagya
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

It is easy to find the LCM of 322 and 330 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 53130 as output. Here you can check the answer for Find the LCM of 322 and 330.

What is LCM of 322 and 330

Given Numbers are 322, 330

We can find the LCM of 322, 330 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 322 and 330

Multiples of 322 =322,644,966,1288,1610,1932,2254,2576,2898,3220,3542,3864,4186,4508,4830,5152,5474,

Multiples of 330 =330,660,990,1320,1650,1980,2310,2640,2970,3300,3630,3960,4290,4620,4950,5280,5610,

Now, get the least common multiple of 322, 330 which is 53130

So, the LCM of 322, 330 is 53130.

Least Common Multiple (LCM) of 322 and 330 with the help of Prime Factorisation

One method for determining the LCM of 322 and 330 is to compare the prime factorization of each number. You can find the prime factorization for each number by following the instructions below:

Here is 322's prime factorization:

2	322
7	161
23	23
	1

Prime factors of 322 are 2, 7,23.

322 = 2¹×7¹×23¹

And this is 330's prime factorization:

2	330
3	165
5	55
11	11
	1

Prime factors of 330 are 2, 3, 5,11.

330 = 2¹×3¹×5¹×11¹

When comparing the prime factorization of these two numbers, look for the highest power to which each prime factor is raised. In this case, the following primary factors must be considered: 2, 7,23, 3, 5,11

2¹×3¹×5¹×7¹×11¹×23¹ = 53130

This shows that the LCM of 322 and 330 is 53130.

How to Calculate the LCM of 322 and 330 Using Common Multiples

The first step in determining the Least Common Multiple of 322 and 330 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 322 and 330:

Lets look at the first ten multiples of these numbers, 322 and 330:

322,644,966,1288,1610,1932,2254,2576,2898,5474 are the first ten multiples of 322.

330,660,990,1320,1650,1980,2310,2640,2970,5610 are the first ten multiples of 330.

You can continue to list the multiples of these numbers until you find a match. Once you have found a match, or several matches, the Least Common Multiple is the smallest of these matches. The first matching multiple(s) of 322 and 330, for example, are 3864, 5474, and 5280. 53130 is the least common multiple since it is the smallest.

322 and 330 have an LCM of 53130.

Least Common Multiple of 322 and 330 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 322 and 330, than apply into the LCM equation.

GCF(322,330) = 2
LCM(322,330) = ( 322 × 330) / 2
LCM(322,330) = 106260 / 2
LCM(322,330) = 53130

Related Least Common Multiples of 322

Related Least Common Multiples of 330

Frequently Asked Questions on LCM of 322 and 330

1. What is the LCM of 322 and 330?

The LCM of 322 and 330 is 53130.

2. How to find the lowest common multiple of 322 and 330?

To find the lowest common multiple of 322 and 330, we have to get the multip;es of both numbers and identify the least common multiple in them which is 53130.

3. What are the Factors of 322?

Answer: Factors of 322 are 1, 2, 7, 14, 23, 46, 161, 322. There are 8 integers that are factors of 322. The greatest factor of 322 is 322.

4. What are the Factors of 330?

Answer: Factors of 330 are 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330. There are 16 integers that are factors of 330. The greatest factor of 330 is 330.