Least Common Multiple of 5678/225, 4461/8742

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5678/225, 4461/8742 quickly i.e. 8443186 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5678/225, 4461/8742 is 8443186.

LCM(5678/225, 4461/8742) = 8443186

LCM of 5678/225, 4461/8742

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 5678/225,4461/8742

Given numbers are 5678/225,4461/8742

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 5678,4461

Least Common Multiple of Numerators i.e. LCM of 5678,4461 is 25329558.

GCF of Denominators means GCF of 225,8742 as per the given fractions.

GCF of 225,8742 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5678,4461

LCM of Fractions 5678/225,4461/8742 is 8443186

Given numbers has no common factors except 1. So, there LCM is their product i.e 25329558

Least Common Multiple of 5678,4461 with GCF Formula

Least Common Multiple of 5678,4461 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 5678,4461 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5678,4461) = 1

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

GCF(5678,4461) x common factors =1 x 1 = 1

LCM(5678,4461) = ( 5678 × 4461 ) / 1

LCM(5678,4461) = 25329558 / 1

LCM(5678,4461) = 25329558


Lets's calculate GCF of 225,8742

3 225, 8742
75, 2914

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25329558/3

Therefore the LCM of Fractions 5678/225,4461/8742 is 8443186

Greatest Common Factor of 225,8742 By Matching Biggest Common Factor Method

Greatest Common Factor of 225,8742 By Matching Biggest Common Factor Method

Factors of 225

List of positive integer factors of 225 that divides 225 without a remainder.

1,3,5,9,15,25,45,75,225

Factors of 8742

List of positive integer factors of 8742 that divides 8742 without a remainder.

1,2,3,6,31,47,62,93,94,141,186,282,1457,2914,4371,8742

Greatest Common Factor

We found the factors 225,8742 . The biggest common factor number is the GCF number.
So the greatest common factor 225,8742 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 5678/225, 4461/8742

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 5678/225, 4461/8742?

Answer: LCM of Numerators as per given numbers 5678/225, 4461/8742 is

LCM of Numerators i.e. for 5678,4461 is 25329558

GCF of denominators i.e. for 225,8742 is 3.

Thus, LCM of Fractions is 8443186.Finally, LCM of Fractions for 5678/225, 4461/8742 is 8443186.