Least Common Multiple of 516/59, 476/1141

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 516/59, 476/1141 quickly i.e. 61404 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 516/59, 476/1141 is 61404.

LCM(516/59, 476/1141) = 61404

LCM of 516/59, 476/1141

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 516/59,476/1141

Given numbers are 516/59,476/1141

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 516,476

Least Common Multiple of Numerators i.e. LCM of 516,476 is 61404.

GCF of Denominators means GCF of 59,1141 as per the given fractions.

GCF of 59,1141 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 516,476

LCM of Fractions 516/59,476/1141 is 61404

2 516, 476
2 258, 238
129, 119

∴ So the LCM of the given numbers is 2 x 2 x 129 x 119 = 61404

Least Common Multiple of 516,476 with GCF Formula

Least Common Multiple of 516,476 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 516,476 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(516,476) = 4

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

GCF(516,476) x common factors =4 x 1 = 4

LCM(516,476) = ( 516 × 476 ) / 4

LCM(516,476) = 245616 / 4

LCM(516,476) = 61404


Lets's calculate GCF of 59,1141

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 61404/1

Therefore the LCM of Fractions 516/59,476/1141 is 61404

Greatest Common Factor of 59,1141 By Matching Biggest Common Factor Method

Greatest Common Factor of 59,1141 By Matching Biggest Common Factor Method

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 1141

List of positive integer factors of 1141 that divides 1141 without a remainder.

1,7,163,1141

Greatest Common Factor

We found the factors 59,1141 . The biggest common factor number is the GCF number.
So the greatest common factor 59,1141 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 516/59, 476/1141

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 516/59, 476/1141?

Answer: LCM of Numerators as per given numbers 516/59, 476/1141 is

LCM of Numerators i.e. for 516,476 is 61404

GCF of denominators i.e. for 59,1141 is 1.

Thus, LCM of Fractions is 61404.Finally, LCM of Fractions for 516/59, 476/1141 is 61404.