Least Common Multiple of 80/552, 20/322, 418/861

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 80/552, 20/322, 418/861 quickly i.e. 16720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 80/552, 20/322, 418/861 is 16720.

LCM(80/552, 20/322, 418/861) = 16720

LCM of 80/552, 20/322, 418/861

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 80/552,20/322,418/861

Given numbers are 80/552,20/322,418/861

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 80,20,418

Least Common Multiple of Numerators i.e. LCM of 80,20,418 is 16720.

GCF of Denominators means GCF of 552,322,861 as per the given fractions.

GCF of 552,322,861 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 80,20,418

LCM of Fractions 80/552,20/322,418/861 is 16720

2 80, 20, 418
2 40, 10, 209
5 20, 5, 209
4, 1, 209

∴ So the LCM of the given numbers is 2 x 2 x 5 x 4 x 1 x 209 = 16720

Least Common Multiple of 80,20,418 with GCF Formula

Least Common Multiple of 80,20,418 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 80,20,418 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,20,418) = 2

common factors(in case of two or more numbers have common factors) = 20

GCF(80,20,418) x common factors =2 x 20 = 40

LCM(80,20,418) = ( 80 × 20 × 418 ) / 40

LCM(80,20,418) = 668800 / 40

LCM(80,20,418) = 16720


Lets's calculate GCF of 552,322,861

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16720/1

Therefore the LCM of Fractions 80/552,20/322,418/861 is 16720

Greatest Common Factor of 552,322,861 By Matching Biggest Common Factor Method

Greatest Common Factor of 552,322,861 By Matching Biggest Common Factor Method

Factors of 552

List of positive integer factors of 552 that divides 552 without a remainder.

1,2,3,4,6,8,12,23,24,46,69,92,138,184,276,552

Factors of 322

List of positive integer factors of 322 that divides 322 without a remainder.

1,2,7,14,23,46,161,322

Factors of 861

List of positive integer factors of 861 that divides 861 without a remainder.

1,3,7,21,41,123,287,861

Greatest Common Factor

We found the factors 552,322,861 . The biggest common factor number is the GCF number.
So the greatest common factor 552,322,861 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 80/552, 20/322, 418/861

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 80/552, 20/322, 418/861?

Answer: LCM of Numerators as per given numbers 80/552, 20/322, 418/861 is

LCM of Numerators i.e. for 80,20,418 is 16720

GCF of denominators i.e. for 552,322,861 is 1.

Thus, LCM of Fractions is 16720.Finally, LCM of Fractions for 80/552, 20/322, 418/861 is 16720.