Least Common Multiple of 480/270, 362/838, 558/173

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 480/270, 362/838, 558/173 quickly i.e. 8079840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 480/270, 362/838, 558/173 is 8079840.

LCM(480/270, 362/838, 558/173) = 8079840

LCM of 480/270, 362/838, 558/173

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 480/270,362/838,558/173

Given numbers are 480/270,362/838,558/173

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 480,362,558

Least Common Multiple of Numerators i.e. LCM of 480,362,558 is 8079840.

GCF of Denominators means GCF of 270,838,173 as per the given fractions.

GCF of 270,838,173 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 480,362,558

LCM of Fractions 480/270,362/838,558/173 is 8079840

2 480, 362, 558
3 240, 181, 279
80, 181, 93

∴ So the LCM of the given numbers is 2 x 3 x 80 x 181 x 93 = 8079840

Least Common Multiple of 480,362,558 with GCF Formula

Least Common Multiple of 480,362,558 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 480,362,558 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(480,362,558) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(480,362,558) x common factors =2 x 6 = 12

LCM(480,362,558) = ( 480 × 362 × 558 ) / 12

LCM(480,362,558) = 96958080 / 12

LCM(480,362,558) = 8079840


Lets's calculate GCF of 270,838,173

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8079840/1

Therefore the LCM of Fractions 480/270,362/838,558/173 is 8079840

Greatest Common Factor of 270,838,173 By Matching Biggest Common Factor Method

Greatest Common Factor of 270,838,173 By Matching Biggest Common Factor Method

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

Factors of 838

List of positive integer factors of 838 that divides 838 without a remainder.

1,2,419,838

Factors of 173

List of positive integer factors of 173 that divides 173 without a remainder.

1,173

Greatest Common Factor

We found the factors 270,838,173 . The biggest common factor number is the GCF number.
So the greatest common factor 270,838,173 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 480/270, 362/838, 558/173

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 480/270, 362/838, 558/173?

Answer: LCM of Numerators as per given numbers 480/270, 362/838, 558/173 is

LCM of Numerators i.e. for 480,362,558 is 8079840

GCF of denominators i.e. for 270,838,173 is 1.

Thus, LCM of Fractions is 8079840.Finally, LCM of Fractions for 480/270, 362/838, 558/173 is 8079840.