Least Common Multiple of 9078/277, 7182/878

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9078/277, 7182/878 quickly i.e. 10866366 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9078/277, 7182/878 is 10866366.

LCM(9078/277, 7182/878) = 10866366

LCM of 9078/277, 7182/878

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 9078/277,7182/878

Given numbers are 9078/277,7182/878

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 9078,7182

Least Common Multiple of Numerators i.e. LCM of 9078,7182 is 10866366.

GCF of Denominators means GCF of 277,878 as per the given fractions.

GCF of 277,878 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9078,7182

LCM of Fractions 9078/277,7182/878 is 10866366

2 9078, 7182
3 4539, 3591
1513, 1197

∴ So the LCM of the given numbers is 2 x 3 x 1513 x 1197 = 10866366

Least Common Multiple of 9078,7182 with GCF Formula

Least Common Multiple of 9078,7182 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 9078,7182 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9078,7182) = 6

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

GCF(9078,7182) x common factors =6 x 1 = 6

LCM(9078,7182) = ( 9078 × 7182 ) / 6

LCM(9078,7182) = 65198196 / 6

LCM(9078,7182) = 10866366


Lets's calculate GCF of 277,878

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10866366/1

Therefore the LCM of Fractions 9078/277,7182/878 is 10866366

Greatest Common Factor of 277,878 By Matching Biggest Common Factor Method

Greatest Common Factor of 277,878 By Matching Biggest Common Factor Method

Factors of 277

List of positive integer factors of 277 that divides 277 without a remainder.

1,277

Factors of 878

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

1,2,439,878

Greatest Common Factor

We found the factors 277,878 . The biggest common factor number is the GCF number.
So the greatest common factor 277,878 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 9078/277, 7182/878

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 9078/277, 7182/878?

Answer: LCM of Numerators as per given numbers 9078/277, 7182/878 is

LCM of Numerators i.e. for 9078,7182 is 10866366

GCF of denominators i.e. for 277,878 is 1.

Thus, LCM of Fractions is 10866366.Finally, LCM of Fractions for 9078/277, 7182/878 is 10866366.