Least Common Multiple of 6054/120, 1347/240

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6054/120, 1347/240 quickly i.e. 2718246/120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6054/120, 1347/240 is 2718246/120.

LCM(6054/120, 1347/240) = 2718246/120

LCM of 6054/120, 1347/240

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 6054/120,1347/240

Given numbers are 6054/120,1347/240

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 6054,1347

Least Common Multiple of Numerators i.e. LCM of 6054,1347 is 2718246.

GCF of Denominators means GCF of 120,240 as per the given fractions.

GCF of 120,240 is 120 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6054,1347

LCM of Fractions 6054/120,1347/240 is 2718246/120

3 6054, 1347
2018, 449

∴ So the LCM of the given numbers is 3 x 2018 x 449 = 2718246

Least Common Multiple of 6054,1347 with GCF Formula

Least Common Multiple of 6054,1347 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 6054,1347 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6054,1347) = 3

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

GCF(6054,1347) x common factors =3 x 1 = 3

LCM(6054,1347) = ( 6054 × 1347 ) / 3

LCM(6054,1347) = 8154738 / 3

LCM(6054,1347) = 2718246


Lets's calculate GCF of 120,240

2 120, 240
2 60, 120
2 30, 60
3 15, 30
5 5, 10
1, 2

∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 x 5 = 120

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2718246/120

Therefore the LCM of Fractions 6054/120,1347/240 is 2718246/120

Greatest Common Factor of 120,240 By Matching Biggest Common Factor Method

Greatest Common Factor of 120,240 By Matching Biggest Common Factor Method

Factors of 120

List of positive integer factors of 120 that divides 120 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120

Factors of 240

List of positive integer factors of 240 that divides 240 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240

Greatest Common Factor

We found the factors 120,240 . The biggest common factor number is the GCF number.
So the greatest common factor 120,240 is 120.


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 6054/120, 1347/240

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 6054/120, 1347/240?

Answer: LCM of Numerators as per given numbers 6054/120, 1347/240 is

LCM of Numerators i.e. for 6054,1347 is 2718246

GCF of denominators i.e. for 120,240 is 120.

Thus, LCM of Fractions is 2718246/120.Finally, LCM of Fractions for 6054/120, 1347/240 is 2718246/120.