Least Common Multiple of 20/325, 8486/2840

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 20/325, 8486/2840 quickly i.e. 16972 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/325, 8486/2840 is 16972.

LCM(20/325, 8486/2840) = 16972

LCM of 20/325, 8486/2840

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 20/325,8486/2840

Given numbers are 20/325,8486/2840

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 20,8486

Least Common Multiple of Numerators i.e. LCM of 20,8486 is 84860.

GCF of Denominators means GCF of 325,2840 as per the given fractions.

GCF of 325,2840 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,8486

LCM of Fractions 20/325,8486/2840 is 16972

2 20, 8486
10, 4243

∴ So the LCM of the given numbers is 2 x 10 x 4243 = 84860

Least Common Multiple of 20,8486 with GCF Formula

Least Common Multiple of 20,8486 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 20,8486 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,8486) = 2

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

GCF(20,8486) x common factors =2 x 1 = 2

LCM(20,8486) = ( 20 × 8486 ) / 2

LCM(20,8486) = 169720 / 2

LCM(20,8486) = 84860


Lets's calculate GCF of 325,2840

5 325, 2840
65, 568

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 84860/5

Therefore the LCM of Fractions 20/325,8486/2840 is 16972

Greatest Common Factor of 325,2840 By Matching Biggest Common Factor Method

Greatest Common Factor of 325,2840 By Matching Biggest Common Factor Method

Factors of 325

List of positive integer factors of 325 that divides 325 without a remainder.

1,5,13,25,65,325

Factors of 2840

List of positive integer factors of 2840 that divides 2840 without a remainder.

1,2,4,5,8,10,20,40,71,142,284,355,568,710,1420,2840

Greatest Common Factor

We found the factors 325,2840 . The biggest common factor number is the GCF number.
So the greatest common factor 325,2840 is 5.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 20/325, 8486/2840

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 20/325, 8486/2840?

Answer: LCM of Numerators as per given numbers 20/325, 8486/2840 is

LCM of Numerators i.e. for 20,8486 is 84860

GCF of denominators i.e. for 325,2840 is 5.

Thus, LCM of Fractions is 16972.Finally, LCM of Fractions for 20/325, 8486/2840 is 16972.