Least Common Multiple of 444/359, 756/165, 513/764

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 444/359, 756/165, 513/764 quickly i.e. 531468 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 444/359, 756/165, 513/764 is 531468.

LCM(444/359, 756/165, 513/764) = 531468

LCM of 444/359, 756/165, 513/764

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 444/359,756/165,513/764

Given numbers are 444/359,756/165,513/764

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 444,756,513

Least Common Multiple of Numerators i.e. LCM of 444,756,513 is 531468.

GCF of Denominators means GCF of 359,165,764 as per the given fractions.

GCF of 359,165,764 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 444,756,513

LCM of Fractions 444/359,756/165,513/764 is 531468

2 444, 756, 513
2 222, 378, 513
3 111, 189, 513
3 37, 63, 171
3 37, 21, 57
37, 7, 19

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 3 x 37 x 7 x 19 = 531468

Least Common Multiple of 444,756,513 with GCF Formula

Least Common Multiple of 444,756,513 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 444,756,513 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(444,756,513) = 3

common factors(in case of two or more numbers have common factors) = 108

GCF(444,756,513) x common factors =3 x 108 = 324

LCM(444,756,513) = ( 444 × 756 × 513 ) / 324

LCM(444,756,513) = 172195632 / 324

LCM(444,756,513) = 531468


Lets's calculate GCF of 359,165,764

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 531468/1

Therefore the LCM of Fractions 444/359,756/165,513/764 is 531468

Greatest Common Factor of 359,165,764 By Matching Biggest Common Factor Method

Greatest Common Factor of 359,165,764 By Matching Biggest Common Factor Method

Factors of 359

List of positive integer factors of 359 that divides 359 without a remainder.

1,359

Factors of 165

List of positive integer factors of 165 that divides 165 without a remainder.

1,3,5,11,15,33,55,165

Factors of 764

List of positive integer factors of 764 that divides 764 without a remainder.

1,2,4,191,382,764

Greatest Common Factor

We found the factors 359,165,764 . The biggest common factor number is the GCF number.
So the greatest common factor 359,165,764 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 444/359, 756/165, 513/764

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 444/359, 756/165, 513/764?

Answer: LCM of Numerators as per given numbers 444/359, 756/165, 513/764 is

LCM of Numerators i.e. for 444,756,513 is 531468

GCF of denominators i.e. for 359,165,764 is 1.

Thus, LCM of Fractions is 531468.Finally, LCM of Fractions for 444/359, 756/165, 513/764 is 531468.