Least Common Multiple of 82/820, 40/572, 386/872

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/820, 40/572, 386/872 quickly i.e. 79130 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/820, 40/572, 386/872 is 79130.

LCM(82/820, 40/572, 386/872) = 79130

LCM of 82/820, 40/572, 386/872

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 82/820,40/572,386/872

Given numbers are 82/820,40/572,386/872

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 82,40,386

Least Common Multiple of Numerators i.e. LCM of 82,40,386 is 316520.

GCF of Denominators means GCF of 820,572,872 as per the given fractions.

GCF of 820,572,872 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,40,386

LCM of Fractions 82/820,40/572,386/872 is 79130

2 82, 40, 386
41, 20, 193

∴ So the LCM of the given numbers is 2 x 41 x 20 x 193 = 316520

Least Common Multiple of 82,40,386 with GCF Formula

Least Common Multiple of 82,40,386 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 82,40,386 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,40,386) = 2

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

GCF(82,40,386) x common factors =2 x 2 = 4

LCM(82,40,386) = ( 82 × 40 × 386 ) / 4

LCM(82,40,386) = 1266080 / 4

LCM(82,40,386) = 316520


Lets's calculate GCF of 820,572,872

2 820, 572, 872
2 410, 286, 436
205, 143, 218

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 316520/4

Therefore the LCM of Fractions 82/820,40/572,386/872 is 79130

Greatest Common Factor of 820,572,872 By Matching Biggest Common Factor Method

Greatest Common Factor of 820,572,872 By Matching Biggest Common Factor Method

Factors of 820

List of positive integer factors of 820 that divides 820 without a remainder.

1,2,4,5,10,20,41,82,164,205,410,820

Factors of 572

List of positive integer factors of 572 that divides 572 without a remainder.

1,2,4,11,13,22,26,44,52,143,286,572

Factors of 872

List of positive integer factors of 872 that divides 872 without a remainder.

1,2,4,8,109,218,436,872

Greatest Common Factor

We found the factors 820,572,872 . The biggest common factor number is the GCF number.
So the greatest common factor 820,572,872 is 4.


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 82/820, 40/572, 386/872

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 82/820, 40/572, 386/872?

Answer: LCM of Numerators as per given numbers 82/820, 40/572, 386/872 is

LCM of Numerators i.e. for 82,40,386 is 316520

GCF of denominators i.e. for 820,572,872 is 4.

Thus, LCM of Fractions is 79130.Finally, LCM of Fractions for 82/820, 40/572, 386/872 is 79130.