Least Common Multiple of 5409/738, 4746/270

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5409/738, 4746/270 quickly i.e. 475391 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5409/738, 4746/270 is 475391.

LCM(5409/738, 4746/270) = 475391

LCM of 5409/738, 4746/270

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 5409/738,4746/270

Given numbers are 5409/738,4746/270

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 5409,4746

Least Common Multiple of Numerators i.e. LCM of 5409,4746 is 8557038.

GCF of Denominators means GCF of 738,270 as per the given fractions.

GCF of 738,270 is 18 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5409,4746

LCM of Fractions 5409/738,4746/270 is 475391

3 5409, 4746
1803, 1582

∴ So the LCM of the given numbers is 3 x 1803 x 1582 = 8557038

Least Common Multiple of 5409,4746 with GCF Formula

Least Common Multiple of 5409,4746 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 5409,4746 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5409,4746) = 3

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

GCF(5409,4746) x common factors =3 x 1 = 3

LCM(5409,4746) = ( 5409 × 4746 ) / 3

LCM(5409,4746) = 25671114 / 3

LCM(5409,4746) = 8557038


Lets's calculate GCF of 738,270

2 738, 270
3 369, 135
3 123, 45
41, 15

∴ So the GCF of the given numbers is 2 x 3 x 3 = 18

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8557038/18

Therefore the LCM of Fractions 5409/738,4746/270 is 475391

Greatest Common Factor of 738,270 By Matching Biggest Common Factor Method

Greatest Common Factor of 738,270 By Matching Biggest Common Factor Method

Factors of 738

List of positive integer factors of 738 that divides 738 without a remainder.

1,2,3,6,9,18,41,82,123,246,369,738

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 738,270 . The biggest common factor number is the GCF number.
So the greatest common factor 738,270 is 18.


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 5409/738, 4746/270

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 5409/738, 4746/270?

Answer: LCM of Numerators as per given numbers 5409/738, 4746/270 is

LCM of Numerators i.e. for 5409,4746 is 8557038

GCF of denominators i.e. for 738,270 is 18.

Thus, LCM of Fractions is 475391.Finally, LCM of Fractions for 5409/738, 4746/270 is 475391.