Least Common Multiple of 8884/564, 9274/5025

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 8884/564, 9274/5025 quickly i.e. 41195108/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8884/564, 9274/5025 is 41195108/3.

LCM(8884/564, 9274/5025) = 41195108/3

LCM of 8884/564, 9274/5025

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 8884/564,9274/5025

Given numbers are 8884/564,9274/5025

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 8884,9274

Least Common Multiple of Numerators i.e. LCM of 8884,9274 is 41195108.

GCF of Denominators means GCF of 564,5025 as per the given fractions.

GCF of 564,5025 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8884,9274

LCM of Fractions 8884/564,9274/5025 is 41195108/3

2 8884, 9274
4442, 4637

∴ So the LCM of the given numbers is 2 x 4442 x 4637 = 41195108

Least Common Multiple of 8884,9274 with GCF Formula

Least Common Multiple of 8884,9274 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 8884,9274 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8884,9274) = 2

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

GCF(8884,9274) x common factors =2 x 1 = 2

LCM(8884,9274) = ( 8884 × 9274 ) / 2

LCM(8884,9274) = 82390216 / 2

LCM(8884,9274) = 41195108


Lets's calculate GCF of 564,5025

3 564, 5025
188, 1675

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41195108/3

Therefore the LCM of Fractions 8884/564,9274/5025 is 41195108/3

Greatest Common Factor of 564,5025 By Matching Biggest Common Factor Method

Greatest Common Factor of 564,5025 By Matching Biggest Common Factor Method

Factors of 564

List of positive integer factors of 564 that divides 564 without a remainder.

1,2,3,4,6,12,47,94,141,188,282,564

Factors of 5025

List of positive integer factors of 5025 that divides 5025 without a remainder.

1,3,5,15,25,67,75,201,335,1005,1675,5025

Greatest Common Factor

We found the factors 564,5025 . The biggest common factor number is the GCF number.
So the greatest common factor 564,5025 is 3.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 8884/564, 9274/5025

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 8884/564, 9274/5025?

Answer: LCM of Numerators as per given numbers 8884/564, 9274/5025 is

LCM of Numerators i.e. for 8884,9274 is 41195108

GCF of denominators i.e. for 564,5025 is 3.

Thus, LCM of Fractions is 41195108/3.Finally, LCM of Fractions for 8884/564, 9274/5025 is 41195108/3.