Least Common Multiple of 9656/872, 9187/8754

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 9656/872, 9187/8754 quickly i.e. 44354836 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9656/872, 9187/8754 is 44354836.

LCM(9656/872, 9187/8754) = 44354836

LCM of 9656/872, 9187/8754

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 9656/872,9187/8754

Given numbers are 9656/872,9187/8754

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 9656,9187

Least Common Multiple of Numerators i.e. LCM of 9656,9187 is 88709672.

GCF of Denominators means GCF of 872,8754 as per the given fractions.

GCF of 872,8754 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9656,9187

LCM of Fractions 9656/872,9187/8754 is 44354836

Given numbers has no common factors except 1. So, there LCM is their product i.e 88709672

Least Common Multiple of 9656,9187 with GCF Formula

Least Common Multiple of 9656,9187 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 9656,9187 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9656,9187) = 1

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

GCF(9656,9187) x common factors =1 x 1 = 1

LCM(9656,9187) = ( 9656 × 9187 ) / 1

LCM(9656,9187) = 88709672 / 1

LCM(9656,9187) = 88709672


Lets's calculate GCF of 872,8754

2 872, 8754
436, 4377

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 88709672/2

Therefore the LCM of Fractions 9656/872,9187/8754 is 44354836

Greatest Common Factor of 872,8754 By Matching Biggest Common Factor Method

Greatest Common Factor of 872,8754 By Matching Biggest Common Factor Method

Factors of 872

List of positive integer factors of 872 that divides 872 without a remainder.

1,2,4,8,109,218,436,872

Factors of 8754

List of positive integer factors of 8754 that divides 8754 without a remainder.

1,2,3,6,1459,2918,4377,8754

Greatest Common Factor

We found the factors 872,8754 . The biggest common factor number is the GCF number.
So the greatest common factor 872,8754 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 9656/872, 9187/8754

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 9656/872, 9187/8754?

Answer: LCM of Numerators as per given numbers 9656/872, 9187/8754 is

LCM of Numerators i.e. for 9656,9187 is 88709672

GCF of denominators i.e. for 872,8754 is 2.

Thus, LCM of Fractions is 44354836.Finally, LCM of Fractions for 9656/872, 9187/8754 is 44354836.