Least Common Multiple of 837/517, 908/725

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 837/517, 908/725 quickly i.e. 759996 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 837/517, 908/725 is 759996.

LCM(837/517, 908/725) = 759996

LCM of 837/517, 908/725

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 837/517,908/725

Given numbers are 837/517,908/725

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 837,908

Least Common Multiple of Numerators i.e. LCM of 837,908 is 759996.

GCF of Denominators means GCF of 517,725 as per the given fractions.

GCF of 517,725 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 837,908

LCM of Fractions 837/517,908/725 is 759996

Given numbers has no common factors except 1. So, there LCM is their product i.e 759996

Least Common Multiple of 837,908 with GCF Formula

Least Common Multiple of 837,908 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 837,908 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(837,908) = 1

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

GCF(837,908) x common factors =1 x 1 = 1

LCM(837,908) = ( 837 × 908 ) / 1

LCM(837,908) = 759996 / 1

LCM(837,908) = 759996


Lets's calculate GCF of 517,725

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 759996/1

Therefore the LCM of Fractions 837/517,908/725 is 759996

Greatest Common Factor of 517,725 By Matching Biggest Common Factor Method

Greatest Common Factor of 517,725 By Matching Biggest Common Factor Method

Factors of 517

List of positive integer factors of 517 that divides 517 without a remainder.

1,11,47,517

Factors of 725

List of positive integer factors of 725 that divides 725 without a remainder.

1,5,25,29,145,725

Greatest Common Factor

We found the factors 517,725 . The biggest common factor number is the GCF number.
So the greatest common factor 517,725 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 837/517, 908/725

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 837/517, 908/725?

Answer: LCM of Numerators as per given numbers 837/517, 908/725 is

LCM of Numerators i.e. for 837,908 is 759996

GCF of denominators i.e. for 517,725 is 1.

Thus, LCM of Fractions is 759996.Finally, LCM of Fractions for 837/517, 908/725 is 759996.