Least Common Multiple of 478/684, 109/389, 791/132

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 478/684, 109/389, 791/132 quickly i.e. 41212682 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 478/684, 109/389, 791/132 is 41212682.

LCM(478/684, 109/389, 791/132) = 41212682

LCM of 478/684, 109/389, 791/132

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 478/684,109/389,791/132

Given numbers are 478/684,109/389,791/132

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 478,109,791

Least Common Multiple of Numerators i.e. LCM of 478,109,791 is 41212682.

GCF of Denominators means GCF of 684,389,132 as per the given fractions.

GCF of 684,389,132 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 478,109,791

LCM of Fractions 478/684,109/389,791/132 is 41212682

Given numbers has no common factors except 1. So, there LCM is their product i.e 41212682

Least Common Multiple of 478,109,791 with GCF Formula

Least Common Multiple of 478,109,791 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 478,109,791 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(478,109,791) = 1

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

GCF(478,109,791) x common factors =1 x 1 = 1

LCM(478,109,791) = ( 478 × 109 × 791 ) / 1

LCM(478,109,791) = 41212682 / 1

LCM(478,109,791) = 41212682


Lets's calculate GCF of 684,389,132

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41212682/1

Therefore the LCM of Fractions 478/684,109/389,791/132 is 41212682

Greatest Common Factor of 684,389,132 By Matching Biggest Common Factor Method

Greatest Common Factor of 684,389,132 By Matching Biggest Common Factor Method

Factors of 684

List of positive integer factors of 684 that divides 684 without a remainder.

1,2,3,4,6,9,12,18,19,36,38,57,76,114,171,228,342,684

Factors of 389

List of positive integer factors of 389 that divides 389 without a remainder.

1,389

Factors of 132

List of positive integer factors of 132 that divides 132 without a remainder.

1,2,3,4,6,11,12,22,33,44,66,132

Greatest Common Factor

We found the factors 684,389,132 . The biggest common factor number is the GCF number.
So the greatest common factor 684,389,132 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 478/684, 109/389, 791/132

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 478/684, 109/389, 791/132?

Answer: LCM of Numerators as per given numbers 478/684, 109/389, 791/132 is

LCM of Numerators i.e. for 478,109,791 is 41212682

GCF of denominators i.e. for 684,389,132 is 1.

Thus, LCM of Fractions is 41212682.Finally, LCM of Fractions for 478/684, 109/389, 791/132 is 41212682.