Least Common Multiple of 76/108, 849/399, 943/287

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/108, 849/399, 943/287 quickly i.e. 60846132 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/108, 849/399, 943/287 is 60846132.

LCM(76/108, 849/399, 943/287) = 60846132

LCM of 76/108, 849/399, 943/287

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 76/108,849/399,943/287

Given numbers are 76/108,849/399,943/287

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 76,849,943

Least Common Multiple of Numerators i.e. LCM of 76,849,943 is 60846132.

GCF of Denominators means GCF of 108,399,287 as per the given fractions.

GCF of 108,399,287 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,849,943

LCM of Fractions 76/108,849/399,943/287 is 60846132

Given numbers has no common factors except 1. So, there LCM is their product i.e 60846132

Least Common Multiple of 76,849,943 with GCF Formula

Least Common Multiple of 76,849,943 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 76,849,943 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,849,943) = 1

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

GCF(76,849,943) x common factors =1 x 1 = 1

LCM(76,849,943) = ( 76 × 849 × 943 ) / 1

LCM(76,849,943) = 60846132 / 1

LCM(76,849,943) = 60846132


Lets's calculate GCF of 108,399,287

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 60846132/1

Therefore the LCM of Fractions 76/108,849/399,943/287 is 60846132

Greatest Common Factor of 108,399,287 By Matching Biggest Common Factor Method

Greatest Common Factor of 108,399,287 By Matching Biggest Common Factor Method

Factors of 108

List of positive integer factors of 108 that divides 108 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,108

Factors of 399

List of positive integer factors of 399 that divides 399 without a remainder.

1,3,7,19,21,57,133,399

Factors of 287

List of positive integer factors of 287 that divides 287 without a remainder.

1,7,41,287

Greatest Common Factor

We found the factors 108,399,287 . The biggest common factor number is the GCF number.
So the greatest common factor 108,399,287 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 76/108, 849/399, 943/287

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 76/108, 849/399, 943/287?

Answer: LCM of Numerators as per given numbers 76/108, 849/399, 943/287 is

LCM of Numerators i.e. for 76,849,943 is 60846132

GCF of denominators i.e. for 108,399,287 is 1.

Thus, LCM of Fractions is 60846132.Finally, LCM of Fractions for 76/108, 849/399, 943/287 is 60846132.