Least Common Multiple of 339/819, 508/689, 917/907

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 339/819, 508/689, 917/907 quickly i.e. 157918404 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 339/819, 508/689, 917/907 is 157918404.

LCM(339/819, 508/689, 917/907) = 157918404

LCM of 339/819, 508/689, 917/907

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 339/819,508/689,917/907

Given numbers are 339/819,508/689,917/907

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 339,508,917

Least Common Multiple of Numerators i.e. LCM of 339,508,917 is 157918404.

GCF of Denominators means GCF of 819,689,907 as per the given fractions.

GCF of 819,689,907 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 339,508,917

LCM of Fractions 339/819,508/689,917/907 is 157918404

Given numbers has no common factors except 1. So, there LCM is their product i.e 157918404

Least Common Multiple of 339,508,917 with GCF Formula

Least Common Multiple of 339,508,917 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 339,508,917 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(339,508,917) = 1

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

GCF(339,508,917) x common factors =1 x 1 = 1

LCM(339,508,917) = ( 339 × 508 × 917 ) / 1

LCM(339,508,917) = 157918404 / 1

LCM(339,508,917) = 157918404


Lets's calculate GCF of 819,689,907

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 157918404/1

Therefore the LCM of Fractions 339/819,508/689,917/907 is 157918404

Greatest Common Factor of 819,689,907 By Matching Biggest Common Factor Method

Greatest Common Factor of 819,689,907 By Matching Biggest Common Factor Method

Factors of 819

List of positive integer factors of 819 that divides 819 without a remainder.

1,3,7,9,13,21,39,63,91,117,273,819

Factors of 689

List of positive integer factors of 689 that divides 689 without a remainder.

1,13,53,689

Factors of 907

List of positive integer factors of 907 that divides 907 without a remainder.

1,907

Greatest Common Factor

We found the factors 819,689,907 . The biggest common factor number is the GCF number.
So the greatest common factor 819,689,907 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 339/819, 508/689, 917/907

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 339/819, 508/689, 917/907?

Answer: LCM of Numerators as per given numbers 339/819, 508/689, 917/907 is

LCM of Numerators i.e. for 339,508,917 is 157918404

GCF of denominators i.e. for 819,689,907 is 1.

Thus, LCM of Fractions is 157918404.Finally, LCM of Fractions for 339/819, 508/689, 917/907 is 157918404.