Least Common Multiple of 82/634, 446/780, 229/360

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/634, 446/780, 229/360 quickly i.e. 2093747 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/634, 446/780, 229/360 is 2093747.

LCM(82/634, 446/780, 229/360) = 2093747

LCM of 82/634, 446/780, 229/360

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 82/634,446/780,229/360

Given numbers are 82/634,446/780,229/360

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 82,446,229

Least Common Multiple of Numerators i.e. LCM of 82,446,229 is 4187494.

GCF of Denominators means GCF of 634,780,360 as per the given fractions.

GCF of 634,780,360 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,446,229

LCM of Fractions 82/634,446/780,229/360 is 2093747

2 82, 446, 229
41, 223, 229

∴ So the LCM of the given numbers is 2 x 41 x 223 x 229 = 4187494

Least Common Multiple of 82,446,229 with GCF Formula

Least Common Multiple of 82,446,229 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 82,446,229 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,446,229) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(82,446,229) x common factors =1 x 2 = 2

LCM(82,446,229) = ( 82 × 446 × 229 ) / 2

LCM(82,446,229) = 8374988 / 2

LCM(82,446,229) = 4187494


Lets's calculate GCF of 634,780,360

2 634, 780, 360
317, 390, 180

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4187494/2

Therefore the LCM of Fractions 82/634,446/780,229/360 is 2093747

Greatest Common Factor of 634,780,360 By Matching Biggest Common Factor Method

Greatest Common Factor of 634,780,360 By Matching Biggest Common Factor Method

Factors of 634

List of positive integer factors of 634 that divides 634 without a remainder.

1,2,317,634

Factors of 780

List of positive integer factors of 780 that divides 780 without a remainder.

1,2,3,4,5,6,10,12,13,15,20,26,30,39,52,60,65,78,130,156,195,260,390,780

Factors of 360

List of positive integer factors of 360 that divides 360 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360

Greatest Common Factor

We found the factors 634,780,360 . The biggest common factor number is the GCF number.
So the greatest common factor 634,780,360 is 2.


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 82/634, 446/780, 229/360

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 82/634, 446/780, 229/360?

Answer: LCM of Numerators as per given numbers 82/634, 446/780, 229/360 is

LCM of Numerators i.e. for 82,446,229 is 4187494

GCF of denominators i.e. for 634,780,360 is 2.

Thus, LCM of Fractions is 2093747.Finally, LCM of Fractions for 82/634, 446/780, 229/360 is 2093747.