Least Common Multiple of 765/476, 900/339, 713/522

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 765/476, 900/339, 713/522 quickly i.e. 10908900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 765/476, 900/339, 713/522 is 10908900.

LCM(765/476, 900/339, 713/522) = 10908900

LCM of 765/476, 900/339, 713/522

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 765/476,900/339,713/522

Given numbers are 765/476,900/339,713/522

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 765,900,713

Least Common Multiple of Numerators i.e. LCM of 765,900,713 is 10908900.

GCF of Denominators means GCF of 476,339,522 as per the given fractions.

GCF of 476,339,522 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 765,900,713

LCM of Fractions 765/476,900/339,713/522 is 10908900

3 765, 900, 713
3 255, 300, 713
5 85, 100, 713
17, 20, 713

∴ So the LCM of the given numbers is 3 x 3 x 5 x 17 x 20 x 713 = 10908900

Least Common Multiple of 765,900,713 with GCF Formula

Least Common Multiple of 765,900,713 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 765,900,713 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(765,900,713) = 1

common factors(in case of two or more numbers have common factors) = 45

GCF(765,900,713) x common factors =1 x 45 = 45

LCM(765,900,713) = ( 765 × 900 × 713 ) / 45

LCM(765,900,713) = 490900500 / 45

LCM(765,900,713) = 10908900


Lets's calculate GCF of 476,339,522

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10908900/1

Therefore the LCM of Fractions 765/476,900/339,713/522 is 10908900

Greatest Common Factor of 476,339,522 By Matching Biggest Common Factor Method

Greatest Common Factor of 476,339,522 By Matching Biggest Common Factor Method

Factors of 476

List of positive integer factors of 476 that divides 476 without a remainder.

1,2,4,7,14,17,28,34,68,119,238,476

Factors of 339

List of positive integer factors of 339 that divides 339 without a remainder.

1,3,113,339

Factors of 522

List of positive integer factors of 522 that divides 522 without a remainder.

1,2,3,6,9,18,29,58,87,174,261,522

Greatest Common Factor

We found the factors 476,339,522 . The biggest common factor number is the GCF number.
So the greatest common factor 476,339,522 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 765/476, 900/339, 713/522

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 765/476, 900/339, 713/522?

Answer: LCM of Numerators as per given numbers 765/476, 900/339, 713/522 is

LCM of Numerators i.e. for 765,900,713 is 10908900

GCF of denominators i.e. for 476,339,522 is 1.

Thus, LCM of Fractions is 10908900.Finally, LCM of Fractions for 765/476, 900/339, 713/522 is 10908900.