Least Common Multiple of 618/724, 2536/8218

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 618/724, 2536/8218 quickly i.e. 391812 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 618/724, 2536/8218 is 391812.

LCM(618/724, 2536/8218) = 391812

LCM of 618/724, 2536/8218

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 618/724,2536/8218

Given numbers are 618/724,2536/8218

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 618,2536

Least Common Multiple of Numerators i.e. LCM of 618,2536 is 783624.

GCF of Denominators means GCF of 724,8218 as per the given fractions.

GCF of 724,8218 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 618,2536

LCM of Fractions 618/724,2536/8218 is 391812

2 618, 2536
309, 1268

∴ So the LCM of the given numbers is 2 x 309 x 1268 = 783624

Least Common Multiple of 618,2536 with GCF Formula

Least Common Multiple of 618,2536 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 618,2536 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(618,2536) = 2

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

GCF(618,2536) x common factors =2 x 1 = 2

LCM(618,2536) = ( 618 × 2536 ) / 2

LCM(618,2536) = 1567248 / 2

LCM(618,2536) = 783624


Lets's calculate GCF of 724,8218

2 724, 8218
362, 4109

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 783624/2

Therefore the LCM of Fractions 618/724,2536/8218 is 391812

Greatest Common Factor of 724,8218 By Matching Biggest Common Factor Method

Greatest Common Factor of 724,8218 By Matching Biggest Common Factor Method

Factors of 724

List of positive integer factors of 724 that divides 724 without a remainder.

1,2,4,181,362,724

Factors of 8218

List of positive integer factors of 8218 that divides 8218 without a remainder.

1,2,7,14,587,1174,4109,8218

Greatest Common Factor

We found the factors 724,8218 . The biggest common factor number is the GCF number.
So the greatest common factor 724,8218 is 2.


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 618/724, 2536/8218

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 618/724, 2536/8218?

Answer: LCM of Numerators as per given numbers 618/724, 2536/8218 is

LCM of Numerators i.e. for 618,2536 is 783624

GCF of denominators i.e. for 724,8218 is 2.

Thus, LCM of Fractions is 391812.Finally, LCM of Fractions for 618/724, 2536/8218 is 391812.