Least Common Multiple of 5162/729, 7978/284

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5162/729, 7978/284 quickly i.e. 20591218 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5162/729, 7978/284 is 20591218.

LCM(5162/729, 7978/284) = 20591218

LCM of 5162/729, 7978/284

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 5162/729,7978/284

Given numbers are 5162/729,7978/284

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 5162,7978

Least Common Multiple of Numerators i.e. LCM of 5162,7978 is 20591218.

GCF of Denominators means GCF of 729,284 as per the given fractions.

GCF of 729,284 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5162,7978

LCM of Fractions 5162/729,7978/284 is 20591218

2 5162, 7978
2581, 3989

∴ So the LCM of the given numbers is 2 x 2581 x 3989 = 20591218

Least Common Multiple of 5162,7978 with GCF Formula

Least Common Multiple of 5162,7978 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 5162,7978 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5162,7978) = 2

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

GCF(5162,7978) x common factors =2 x 1 = 2

LCM(5162,7978) = ( 5162 × 7978 ) / 2

LCM(5162,7978) = 41182436 / 2

LCM(5162,7978) = 20591218


Lets's calculate GCF of 729,284

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20591218/1

Therefore the LCM of Fractions 5162/729,7978/284 is 20591218

Greatest Common Factor of 729,284 By Matching Biggest Common Factor Method

Greatest Common Factor of 729,284 By Matching Biggest Common Factor Method

Factors of 729

List of positive integer factors of 729 that divides 729 without a remainder.

1,3,9,27,81,243,729

Factors of 284

List of positive integer factors of 284 that divides 284 without a remainder.

1,2,4,71,142,284

Greatest Common Factor

We found the factors 729,284 . The biggest common factor number is the GCF number.
So the greatest common factor 729,284 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 5162/729, 7978/284

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 5162/729, 7978/284?

Answer: LCM of Numerators as per given numbers 5162/729, 7978/284 is

LCM of Numerators i.e. for 5162,7978 is 20591218

GCF of denominators i.e. for 729,284 is 1.

Thus, LCM of Fractions is 20591218.Finally, LCM of Fractions for 5162/729, 7978/284 is 20591218.