Least Common Multiple of 254/857, 5896/5202

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 254/857, 5896/5202 quickly i.e. 748792 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 254/857, 5896/5202 is 748792.

LCM(254/857, 5896/5202) = 748792

LCM of 254/857, 5896/5202

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 254/857,5896/5202

Given numbers are 254/857,5896/5202

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 254,5896

Least Common Multiple of Numerators i.e. LCM of 254,5896 is 748792.

GCF of Denominators means GCF of 857,5202 as per the given fractions.

GCF of 857,5202 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 254,5896

LCM of Fractions 254/857,5896/5202 is 748792

2 254, 5896
127, 2948

∴ So the LCM of the given numbers is 2 x 127 x 2948 = 748792

Least Common Multiple of 254,5896 with GCF Formula

Least Common Multiple of 254,5896 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 254,5896 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(254,5896) = 2

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

GCF(254,5896) x common factors =2 x 1 = 2

LCM(254,5896) = ( 254 × 5896 ) / 2

LCM(254,5896) = 1497584 / 2

LCM(254,5896) = 748792


Lets's calculate GCF of 857,5202

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 748792/1

Therefore the LCM of Fractions 254/857,5896/5202 is 748792

Greatest Common Factor of 857,5202 By Matching Biggest Common Factor Method

Greatest Common Factor of 857,5202 By Matching Biggest Common Factor Method

Factors of 857

List of positive integer factors of 857 that divides 857 without a remainder.

1,857

Factors of 5202

List of positive integer factors of 5202 that divides 5202 without a remainder.

1,2,3,6,9,17,18,34,51,102,153,289,306,578,867,1734,2601,5202

Greatest Common Factor

We found the factors 857,5202 . The biggest common factor number is the GCF number.
So the greatest common factor 857,5202 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 254/857, 5896/5202

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 254/857, 5896/5202?

Answer: LCM of Numerators as per given numbers 254/857, 5896/5202 is

LCM of Numerators i.e. for 254,5896 is 748792

GCF of denominators i.e. for 857,5202 is 1.

Thus, LCM of Fractions is 748792.Finally, LCM of Fractions for 254/857, 5896/5202 is 748792.