Least Common Multiple of 5440/878, 6396/9249

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5440/878, 6396/9249 quickly i.e. 8698560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5440/878, 6396/9249 is 8698560.

LCM(5440/878, 6396/9249) = 8698560

LCM of 5440/878, 6396/9249

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 5440/878,6396/9249

Given numbers are 5440/878,6396/9249

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 5440,6396

Least Common Multiple of Numerators i.e. LCM of 5440,6396 is 8698560.

GCF of Denominators means GCF of 878,9249 as per the given fractions.

GCF of 878,9249 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5440,6396

LCM of Fractions 5440/878,6396/9249 is 8698560

2 5440, 6396
2 2720, 3198
1360, 1599

∴ So the LCM of the given numbers is 2 x 2 x 1360 x 1599 = 8698560

Least Common Multiple of 5440,6396 with GCF Formula

Least Common Multiple of 5440,6396 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 5440,6396 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5440,6396) = 4

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

GCF(5440,6396) x common factors =4 x 1 = 4

LCM(5440,6396) = ( 5440 × 6396 ) / 4

LCM(5440,6396) = 34794240 / 4

LCM(5440,6396) = 8698560


Lets's calculate GCF of 878,9249

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8698560/1

Therefore the LCM of Fractions 5440/878,6396/9249 is 8698560

Greatest Common Factor of 878,9249 By Matching Biggest Common Factor Method

Greatest Common Factor of 878,9249 By Matching Biggest Common Factor Method

Factors of 878

List of positive integer factors of 878 that divides 878 without a remainder.

1,2,439,878

Factors of 9249

List of positive integer factors of 9249 that divides 9249 without a remainder.

1,3,3083,9249

Greatest Common Factor

We found the factors 878,9249 . The biggest common factor number is the GCF number.
So the greatest common factor 878,9249 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 5440/878, 6396/9249

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 5440/878, 6396/9249?

Answer: LCM of Numerators as per given numbers 5440/878, 6396/9249 is

LCM of Numerators i.e. for 5440,6396 is 8698560

GCF of denominators i.e. for 878,9249 is 1.

Thus, LCM of Fractions is 8698560.Finally, LCM of Fractions for 5440/878, 6396/9249 is 8698560.