Least Common Multiple of 8760/274, 3004/9591

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8760/274, 3004/9591 quickly i.e. 6578760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8760/274, 3004/9591 is 6578760.

LCM(8760/274, 3004/9591) = 6578760

LCM of 8760/274, 3004/9591

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 8760/274,3004/9591

Given numbers are 8760/274,3004/9591

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 8760,3004

Least Common Multiple of Numerators i.e. LCM of 8760,3004 is 6578760.

GCF of Denominators means GCF of 274,9591 as per the given fractions.

GCF of 274,9591 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8760,3004

LCM of Fractions 8760/274,3004/9591 is 6578760

2 8760, 3004
2 4380, 1502
2190, 751

∴ So the LCM of the given numbers is 2 x 2 x 2190 x 751 = 6578760

Least Common Multiple of 8760,3004 with GCF Formula

Least Common Multiple of 8760,3004 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 8760,3004 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8760,3004) = 4

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

GCF(8760,3004) x common factors =4 x 1 = 4

LCM(8760,3004) = ( 8760 × 3004 ) / 4

LCM(8760,3004) = 26315040 / 4

LCM(8760,3004) = 6578760


Lets's calculate GCF of 274,9591

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6578760/1

Therefore the LCM of Fractions 8760/274,3004/9591 is 6578760

Greatest Common Factor of 274,9591 By Matching Biggest Common Factor Method

Greatest Common Factor of 274,9591 By Matching Biggest Common Factor Method

Factors of 274

List of positive integer factors of 274 that divides 274 without a remainder.

1,2,137,274

Factors of 9591

List of positive integer factors of 9591 that divides 9591 without a remainder.

1,3,23,69,139,417,3197,9591

Greatest Common Factor

We found the factors 274,9591 . The biggest common factor number is the GCF number.
So the greatest common factor 274,9591 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 8760/274, 3004/9591

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 8760/274, 3004/9591?

Answer: LCM of Numerators as per given numbers 8760/274, 3004/9591 is

LCM of Numerators i.e. for 8760,3004 is 6578760

GCF of denominators i.e. for 274,9591 is 1.

Thus, LCM of Fractions is 6578760.Finally, LCM of Fractions for 8760/274, 3004/9591 is 6578760.