Least Common Multiple of 5378/609, 4320/8136

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5378/609, 4320/8136 quickly i.e. 3872160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5378/609, 4320/8136 is 3872160.

LCM(5378/609, 4320/8136) = 3872160

LCM of 5378/609, 4320/8136

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 5378/609,4320/8136

Given numbers are 5378/609,4320/8136

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 5378,4320

Least Common Multiple of Numerators i.e. LCM of 5378,4320 is 11616480.

GCF of Denominators means GCF of 609,8136 as per the given fractions.

GCF of 609,8136 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5378,4320

LCM of Fractions 5378/609,4320/8136 is 3872160

2 5378, 4320
2689, 2160

∴ So the LCM of the given numbers is 2 x 2689 x 2160 = 11616480

Least Common Multiple of 5378,4320 with GCF Formula

Least Common Multiple of 5378,4320 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 5378,4320 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5378,4320) = 2

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

GCF(5378,4320) x common factors =2 x 1 = 2

LCM(5378,4320) = ( 5378 × 4320 ) / 2

LCM(5378,4320) = 23232960 / 2

LCM(5378,4320) = 11616480


Lets's calculate GCF of 609,8136

3 609, 8136
203, 2712

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11616480/3

Therefore the LCM of Fractions 5378/609,4320/8136 is 3872160

Greatest Common Factor of 609,8136 By Matching Biggest Common Factor Method

Greatest Common Factor of 609,8136 By Matching Biggest Common Factor Method

Factors of 609

List of positive integer factors of 609 that divides 609 without a remainder.

1,3,7,21,29,87,203,609

Factors of 8136

List of positive integer factors of 8136 that divides 8136 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72,113,226,339,452,678,904,1017,1356,2034,2712,4068,8136

Greatest Common Factor

We found the factors 609,8136 . The biggest common factor number is the GCF number.
So the greatest common factor 609,8136 is 3.


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 5378/609, 4320/8136

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 5378/609, 4320/8136?

Answer: LCM of Numerators as per given numbers 5378/609, 4320/8136 is

LCM of Numerators i.e. for 5378,4320 is 11616480

GCF of denominators i.e. for 609,8136 is 3.

Thus, LCM of Fractions is 3872160.Finally, LCM of Fractions for 5378/609, 4320/8136 is 3872160.