Least Common Multiple of 334/557, 760/461

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 334/557, 760/461 quickly i.e. 126920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 334/557, 760/461 is 126920.

LCM(334/557, 760/461) = 126920

LCM of 334/557, 760/461

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 334/557,760/461

Given numbers are 334/557,760/461

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 334,760

Least Common Multiple of Numerators i.e. LCM of 334,760 is 126920.

GCF of Denominators means GCF of 557,461 as per the given fractions.

GCF of 557,461 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 334,760

LCM of Fractions 334/557,760/461 is 126920

2 334, 760
167, 380

∴ So the LCM of the given numbers is 2 x 167 x 380 = 126920

Least Common Multiple of 334,760 with GCF Formula

Least Common Multiple of 334,760 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 334,760 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(334,760) = 2

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

GCF(334,760) x common factors =2 x 1 = 2

LCM(334,760) = ( 334 × 760 ) / 2

LCM(334,760) = 253840 / 2

LCM(334,760) = 126920


Lets's calculate GCF of 557,461

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 126920/1

Therefore the LCM of Fractions 334/557,760/461 is 126920

Greatest Common Factor of 557,461 By Matching Biggest Common Factor Method

Greatest Common Factor of 557,461 By Matching Biggest Common Factor Method

Factors of 557

List of positive integer factors of 557 that divides 557 without a remainder.

1,557

Factors of 461

List of positive integer factors of 461 that divides 461 without a remainder.

1,461

Greatest Common Factor

We found the factors 557,461 . The biggest common factor number is the GCF number.
So the greatest common factor 557,461 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 334/557, 760/461

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 334/557, 760/461?

Answer: LCM of Numerators as per given numbers 334/557, 760/461 is

LCM of Numerators i.e. for 334,760 is 126920

GCF of denominators i.e. for 557,461 is 1.

Thus, LCM of Fractions is 126920.Finally, LCM of Fractions for 334/557, 760/461 is 126920.