Least Common Multiple of 479/523, 908/750, 755/839

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 479/523, 908/750, 755/839 quickly i.e. 328373660 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 479/523, 908/750, 755/839 is 328373660.

LCM(479/523, 908/750, 755/839) = 328373660

LCM of 479/523, 908/750, 755/839

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 479/523,908/750,755/839

Given numbers are 479/523,908/750,755/839

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 479,908,755

Least Common Multiple of Numerators i.e. LCM of 479,908,755 is 328373660.

GCF of Denominators means GCF of 523,750,839 as per the given fractions.

GCF of 523,750,839 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 479,908,755

LCM of Fractions 479/523,908/750,755/839 is 328373660

Given numbers has no common factors except 1. So, there LCM is their product i.e 328373660

Least Common Multiple of 479,908,755 with GCF Formula

Least Common Multiple of 479,908,755 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 479,908,755 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(479,908,755) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(479,908,755) x common factors =1 x 1 = 1

LCM(479,908,755) = ( 479 × 908 × 755 ) / 1

LCM(479,908,755) = 328373660 / 1

LCM(479,908,755) = 328373660


Lets's calculate GCF of 523,750,839

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 328373660/1

Therefore the LCM of Fractions 479/523,908/750,755/839 is 328373660

Greatest Common Factor of 523,750,839 By Matching Biggest Common Factor Method

Greatest Common Factor of 523,750,839 By Matching Biggest Common Factor Method

Factors of 523

List of positive integer factors of 523 that divides 523 without a remainder.

1,523

Factors of 750

List of positive integer factors of 750 that divides 750 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,125,150,250,375,750

Factors of 839

List of positive integer factors of 839 that divides 839 without a remainder.

1,839

Greatest Common Factor

We found the factors 523,750,839 . The biggest common factor number is the GCF number.
So the greatest common factor 523,750,839 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 479/523, 908/750, 755/839

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 479/523, 908/750, 755/839?

Answer: LCM of Numerators as per given numbers 479/523, 908/750, 755/839 is

LCM of Numerators i.e. for 479,908,755 is 328373660

GCF of denominators i.e. for 523,750,839 is 1.

Thus, LCM of Fractions is 328373660.Finally, LCM of Fractions for 479/523, 908/750, 755/839 is 328373660.