Least Common Multiple of 476/211, 119/567, 849/542

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 476/211, 119/567, 849/542 quickly i.e. 404124 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 476/211, 119/567, 849/542 is 404124.

LCM(476/211, 119/567, 849/542) = 404124

LCM of 476/211, 119/567, 849/542

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 476/211,119/567,849/542

Given numbers are 476/211,119/567,849/542

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 476,119,849

Least Common Multiple of Numerators i.e. LCM of 476,119,849 is 404124.

GCF of Denominators means GCF of 211,567,542 as per the given fractions.

GCF of 211,567,542 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 476,119,849

LCM of Fractions 476/211,119/567,849/542 is 404124

7 476, 119, 849
17 68, 17, 849
4, 1, 849

∴ So the LCM of the given numbers is 7 x 17 x 4 x 1 x 849 = 404124

Least Common Multiple of 476,119,849 with GCF Formula

Least Common Multiple of 476,119,849 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 476,119,849 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(476,119,849) = 1

common factors(in case of two or more numbers have common factors) = 119

GCF(476,119,849) x common factors =1 x 119 = 119

LCM(476,119,849) = ( 476 × 119 × 849 ) / 119

LCM(476,119,849) = 48090756 / 119

LCM(476,119,849) = 404124


Lets's calculate GCF of 211,567,542

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 404124/1

Therefore the LCM of Fractions 476/211,119/567,849/542 is 404124

Greatest Common Factor of 211,567,542 By Matching Biggest Common Factor Method

Greatest Common Factor of 211,567,542 By Matching Biggest Common Factor Method

Factors of 211

List of positive integer factors of 211 that divides 211 without a remainder.

1,211

Factors of 567

List of positive integer factors of 567 that divides 567 without a remainder.

1,3,7,9,21,27,63,81,189,567

Factors of 542

List of positive integer factors of 542 that divides 542 without a remainder.

1,2,271,542

Greatest Common Factor

We found the factors 211,567,542 . The biggest common factor number is the GCF number.
So the greatest common factor 211,567,542 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 476/211, 119/567, 849/542

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 476/211, 119/567, 849/542?

Answer: LCM of Numerators as per given numbers 476/211, 119/567, 849/542 is

LCM of Numerators i.e. for 476,119,849 is 404124

GCF of denominators i.e. for 211,567,542 is 1.

Thus, LCM of Fractions is 404124.Finally, LCM of Fractions for 476/211, 119/567, 849/542 is 404124.