How to Find the LCM of 257 and 264?

LCM of 257 and 264

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

It is easy to find the LCM of 257 and 264 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 67848 as output. Here you can check the answer for Find the LCM of 257 and 264.

What is LCM of 257 and 264

Given Numbers are 257, 264

We can find the LCM of 257, 264 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 257 and 264

Multiples of 257 =257,514,771,1028,1285,1542,1799,2056,2313,2570,2827,3084,3341,3598,3855,4112,4369,

Multiples of 264 =264,528,792,1056,1320,1584,1848,2112,2376,2640,2904,3168,3432,3696,3960,4224,4488,

Now, get the least common multiple of 257, 264 which is 67848

So, the LCM of 257, 264 is 67848.

Least Common Multiple (LCM) of 257 and 264 with the help of Prime Factorisation

One method for determining the LCM of 257 and 264 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 257's prime factorization:

257	257
	1

Prime factors of 257 are 257.

257 = 257¹

And this is 264's prime factorization:

2	264
2	132
2	66
3	33
11	11
	1

Prime factors of 264 are 2, 3,11.

264 = 2³×3¹×11¹

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:257, 2, 3,11

2³×3¹×11¹×257¹ = 67848

This shows that the LCM of 257 and 264 is 67848.

How to Calculate the LCM of 257 and 264 Using Common Multiples

The first step in determining the Least Common Multiple of 257 and 264 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 257 and 264:

Lets look at the first ten multiples of these numbers, 257 and 264:

257,514,771,1028,1285,1542,1799,2056,2313,4369 are the first ten multiples of 257.

264,528,792,1056,1320,1584,1848,2112,2376,4488 are the first ten multiples of 264.

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 257 and 264, for example, are 3084, 4369, and 4224. 67848 is the least common multiple since it is the smallest.

257 and 264 have an LCM of 67848.

Least Common Multiple of 257 and 264 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 257 and 264, than apply into the LCM equation.

GCF(257,264) = 1
LCM(257,264) = ( 257 × 264) / 1
LCM(257,264) = 67848 / 1
LCM(257,264) = 67848

Related Least Common Multiples of 257

Related Least Common Multiples of 264

Frequently Asked Questions on LCM of 257 and 264

1. What is the LCM of 257 and 264?

The LCM of 257 and 264 is 67848.

2. How to find the lowest common multiple of 257 and 264?

To find the lowest common multiple of 257 and 264, we have to get the multip;es of both numbers and identify the least common multiple in them which is 67848.

3. What are the Factors of 257?

Answer: Factors of 257 are 1, 257. There are 2 integers that are factors of 257. The greatest factor of 257 is 257.

4. What are the Factors of 264?

Answer: Factors of 264 are 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264. There are 16 integers that are factors of 264. The greatest factor of 264 is 264.