Least Common Multiple of 5428/781, 1158/367

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5428/781, 1158/367 quickly i.e. 3142812 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5428/781, 1158/367 is 3142812.

LCM(5428/781, 1158/367) = 3142812

LCM of 5428/781, 1158/367

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 5428/781,1158/367

Given numbers are 5428/781,1158/367

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 5428,1158

Least Common Multiple of Numerators i.e. LCM of 5428,1158 is 3142812.

GCF of Denominators means GCF of 781,367 as per the given fractions.

GCF of 781,367 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5428,1158

LCM of Fractions 5428/781,1158/367 is 3142812

2 5428, 1158
2714, 579

∴ So the LCM of the given numbers is 2 x 2714 x 579 = 3142812

Least Common Multiple of 5428,1158 with GCF Formula

Least Common Multiple of 5428,1158 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 5428,1158 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5428,1158) = 2

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

GCF(5428,1158) x common factors =2 x 1 = 2

LCM(5428,1158) = ( 5428 × 1158 ) / 2

LCM(5428,1158) = 6285624 / 2

LCM(5428,1158) = 3142812


Lets's calculate GCF of 781,367

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3142812/1

Therefore the LCM of Fractions 5428/781,1158/367 is 3142812

Greatest Common Factor of 781,367 By Matching Biggest Common Factor Method

Greatest Common Factor of 781,367 By Matching Biggest Common Factor Method

Factors of 781

List of positive integer factors of 781 that divides 781 without a remainder.

1,11,71,781

Factors of 367

List of positive integer factors of 367 that divides 367 without a remainder.

1,367

Greatest Common Factor

We found the factors 781,367 . The biggest common factor number is the GCF number.
So the greatest common factor 781,367 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 5428/781, 1158/367

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 5428/781, 1158/367?

Answer: LCM of Numerators as per given numbers 5428/781, 1158/367 is

LCM of Numerators i.e. for 5428,1158 is 3142812

GCF of denominators i.e. for 781,367 is 1.

Thus, LCM of Fractions is 3142812.Finally, LCM of Fractions for 5428/781, 1158/367 is 3142812.