Least Common Multiple of 8728/409, 4788/7218

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8728/409, 4788/7218 quickly i.e. 10447416 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8728/409, 4788/7218 is 10447416.

LCM(8728/409, 4788/7218) = 10447416

LCM of 8728/409, 4788/7218

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 8728/409,4788/7218

Given numbers are 8728/409,4788/7218

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 8728,4788

Least Common Multiple of Numerators i.e. LCM of 8728,4788 is 10447416.

GCF of Denominators means GCF of 409,7218 as per the given fractions.

GCF of 409,7218 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8728,4788

LCM of Fractions 8728/409,4788/7218 is 10447416

2 8728, 4788
2 4364, 2394
2182, 1197

∴ So the LCM of the given numbers is 2 x 2 x 2182 x 1197 = 10447416

Least Common Multiple of 8728,4788 with GCF Formula

Least Common Multiple of 8728,4788 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 8728,4788 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8728,4788) = 4

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

GCF(8728,4788) x common factors =4 x 1 = 4

LCM(8728,4788) = ( 8728 × 4788 ) / 4

LCM(8728,4788) = 41789664 / 4

LCM(8728,4788) = 10447416


Lets's calculate GCF of 409,7218

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10447416/1

Therefore the LCM of Fractions 8728/409,4788/7218 is 10447416

Greatest Common Factor of 409,7218 By Matching Biggest Common Factor Method

Greatest Common Factor of 409,7218 By Matching Biggest Common Factor Method

Factors of 409

List of positive integer factors of 409 that divides 409 without a remainder.

1,409

Factors of 7218

List of positive integer factors of 7218 that divides 7218 without a remainder.

1,2,3,6,9,18,401,802,1203,2406,3609,7218

Greatest Common Factor

We found the factors 409,7218 . The biggest common factor number is the GCF number.
So the greatest common factor 409,7218 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 8728/409, 4788/7218

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 8728/409, 4788/7218?

Answer: LCM of Numerators as per given numbers 8728/409, 4788/7218 is

LCM of Numerators i.e. for 8728,4788 is 10447416

GCF of denominators i.e. for 409,7218 is 1.

Thus, LCM of Fractions is 10447416.Finally, LCM of Fractions for 8728/409, 4788/7218 is 10447416.