Least Common Multiple of 486/80, 545/20, 722/270

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 486/80, 545/20, 722/270 quickly i.e. 9561807 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 486/80, 545/20, 722/270 is 9561807.

LCM(486/80, 545/20, 722/270) = 9561807

LCM of 486/80, 545/20, 722/270

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 486/80,545/20,722/270

Given numbers are 486/80,545/20,722/270

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 486,545,722

Least Common Multiple of Numerators i.e. LCM of 486,545,722 is 95618070.

GCF of Denominators means GCF of 80,20,270 as per the given fractions.

GCF of 80,20,270 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 486,545,722

LCM of Fractions 486/80,545/20,722/270 is 9561807

2 486, 545, 722
243, 545, 361

∴ So the LCM of the given numbers is 2 x 243 x 545 x 361 = 95618070

Least Common Multiple of 486,545,722 with GCF Formula

Least Common Multiple of 486,545,722 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 486,545,722 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(486,545,722) = 1

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

GCF(486,545,722) x common factors =1 x 2 = 2

LCM(486,545,722) = ( 486 × 545 × 722 ) / 2

LCM(486,545,722) = 191236140 / 2

LCM(486,545,722) = 95618070


Lets's calculate GCF of 80,20,270

2 80, 20, 270
5 40, 10, 135
8, 2, 27

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 95618070/10

Therefore the LCM of Fractions 486/80,545/20,722/270 is 9561807

Greatest Common Factor of 80,20,270 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,20,270 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 270

List of positive integer factors of 270 that divides 270 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,90,135,270

Greatest Common Factor

We found the factors 80,20,270 . The biggest common factor number is the GCF number.
So the greatest common factor 80,20,270 is 10.


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 486/80, 545/20, 722/270

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 486/80, 545/20, 722/270?

Answer: LCM of Numerators as per given numbers 486/80, 545/20, 722/270 is

LCM of Numerators i.e. for 486,545,722 is 95618070

GCF of denominators i.e. for 80,20,270 is 10.

Thus, LCM of Fractions is 9561807.Finally, LCM of Fractions for 486/80, 545/20, 722/270 is 9561807.