Least Common Multiple of 80/457, 27/722, 711/180

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 80/457, 27/722, 711/180 quickly i.e. 170640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 80/457, 27/722, 711/180 is 170640.

LCM(80/457, 27/722, 711/180) = 170640

LCM of 80/457, 27/722, 711/180

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 80/457,27/722,711/180

Given numbers are 80/457,27/722,711/180

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 80,27,711

Least Common Multiple of Numerators i.e. LCM of 80,27,711 is 170640.

GCF of Denominators means GCF of 457,722,180 as per the given fractions.

GCF of 457,722,180 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 80,27,711

LCM of Fractions 80/457,27/722,711/180 is 170640

3 80, 27, 711
3 80, 9, 237
80, 3, 79

∴ So the LCM of the given numbers is 3 x 3 x 80 x 3 x 79 = 170640

Least Common Multiple of 80,27,711 with GCF Formula

Least Common Multiple of 80,27,711 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 80,27,711 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,27,711) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(80,27,711) x common factors =1 x 9 = 9

LCM(80,27,711) = ( 80 × 27 × 711 ) / 9

LCM(80,27,711) = 1535760 / 9

LCM(80,27,711) = 170640


Lets's calculate GCF of 457,722,180

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 170640/1

Therefore the LCM of Fractions 80/457,27/722,711/180 is 170640

Greatest Common Factor of 457,722,180 By Matching Biggest Common Factor Method

Greatest Common Factor of 457,722,180 By Matching Biggest Common Factor Method

Factors of 457

List of positive integer factors of 457 that divides 457 without a remainder.

1,457

Factors of 722

List of positive integer factors of 722 that divides 722 without a remainder.

1,2,19,38,361,722

Factors of 180

List of positive integer factors of 180 that divides 180 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,60,90,180

Greatest Common Factor

We found the factors 457,722,180 . The biggest common factor number is the GCF number.
So the greatest common factor 457,722,180 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 80/457, 27/722, 711/180

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 80/457, 27/722, 711/180?

Answer: LCM of Numerators as per given numbers 80/457, 27/722, 711/180 is

LCM of Numerators i.e. for 80,27,711 is 170640

GCF of denominators i.e. for 457,722,180 is 1.

Thus, LCM of Fractions is 170640.Finally, LCM of Fractions for 80/457, 27/722, 711/180 is 170640.