Least Common Multiple of 76/882, 43/489, 213/940

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/882, 43/489, 213/940 quickly i.e. 696084 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/882, 43/489, 213/940 is 696084.

LCM(76/882, 43/489, 213/940) = 696084

LCM of 76/882, 43/489, 213/940

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 76/882,43/489,213/940

Given numbers are 76/882,43/489,213/940

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 76,43,213

Least Common Multiple of Numerators i.e. LCM of 76,43,213 is 696084.

GCF of Denominators means GCF of 882,489,940 as per the given fractions.

GCF of 882,489,940 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,43,213

LCM of Fractions 76/882,43/489,213/940 is 696084

Given numbers has no common factors except 1. So, there LCM is their product i.e 696084

Least Common Multiple of 76,43,213 with GCF Formula

Least Common Multiple of 76,43,213 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 76,43,213 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,43,213) = 1

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

GCF(76,43,213) x common factors =1 x 1 = 1

LCM(76,43,213) = ( 76 × 43 × 213 ) / 1

LCM(76,43,213) = 696084 / 1

LCM(76,43,213) = 696084


Lets's calculate GCF of 882,489,940

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 696084/1

Therefore the LCM of Fractions 76/882,43/489,213/940 is 696084

Greatest Common Factor of 882,489,940 By Matching Biggest Common Factor Method

Greatest Common Factor of 882,489,940 By Matching Biggest Common Factor Method

Factors of 882

List of positive integer factors of 882 that divides 882 without a remainder.

1,2,3,6,7,9,14,18,21,42,49,63,98,126,147,294,441,882

Factors of 489

List of positive integer factors of 489 that divides 489 without a remainder.

1,3,163,489

Factors of 940

List of positive integer factors of 940 that divides 940 without a remainder.

1,2,4,5,10,20,47,94,188,235,470,940

Greatest Common Factor

We found the factors 882,489,940 . The biggest common factor number is the GCF number.
So the greatest common factor 882,489,940 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 76/882, 43/489, 213/940

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 76/882, 43/489, 213/940?

Answer: LCM of Numerators as per given numbers 76/882, 43/489, 213/940 is

LCM of Numerators i.e. for 76,43,213 is 696084

GCF of denominators i.e. for 882,489,940 is 1.

Thus, LCM of Fractions is 696084.Finally, LCM of Fractions for 76/882, 43/489, 213/940 is 696084.