Least Common Multiple of 85/100, 20/684, 539/386

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 85/100, 20/684, 539/386 quickly i.e. 91630 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 85/100, 20/684, 539/386 is 91630.

LCM(85/100, 20/684, 539/386) = 91630

LCM of 85/100, 20/684, 539/386

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 85/100,20/684,539/386

Given numbers are 85/100,20/684,539/386

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 85,20,539

Least Common Multiple of Numerators i.e. LCM of 85,20,539 is 183260.

GCF of Denominators means GCF of 100,684,386 as per the given fractions.

GCF of 100,684,386 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 85,20,539

LCM of Fractions 85/100,20/684,539/386 is 91630

5 85, 20, 539
17, 4, 539

∴ So the LCM of the given numbers is 5 x 17 x 4 x 539 = 183260

Least Common Multiple of 85,20,539 with GCF Formula

Least Common Multiple of 85,20,539 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 85,20,539 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,20,539) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(85,20,539) x common factors =1 x 5 = 5

LCM(85,20,539) = ( 85 × 20 × 539 ) / 5

LCM(85,20,539) = 916300 / 5

LCM(85,20,539) = 183260


Lets's calculate GCF of 100,684,386

2 100, 684, 386
50, 342, 193

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 183260/2

Therefore the LCM of Fractions 85/100,20/684,539/386 is 91630

Greatest Common Factor of 100,684,386 By Matching Biggest Common Factor Method

Greatest Common Factor of 100,684,386 By Matching Biggest Common Factor Method

Factors of 100

List of positive integer factors of 100 that divides 100 without a remainder.

1,2,4,5,10,20,25,50,100

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 386

List of positive integer factors of 386 that divides 386 without a remainder.

1,2,193,386

Greatest Common Factor

We found the factors 100,684,386 . The biggest common factor number is the GCF number.
So the greatest common factor 100,684,386 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 85/100, 20/684, 539/386

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 85/100, 20/684, 539/386?

Answer: LCM of Numerators as per given numbers 85/100, 20/684, 539/386 is

LCM of Numerators i.e. for 85,20,539 is 183260

GCF of denominators i.e. for 100,684,386 is 2.

Thus, LCM of Fractions is 91630.Finally, LCM of Fractions for 85/100, 20/684, 539/386 is 91630.