Least Common Multiple of 6133/978, 6825/8307

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6133/978, 6825/8307 quickly i.e. 13952575 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6133/978, 6825/8307 is 13952575.

LCM(6133/978, 6825/8307) = 13952575

LCM of 6133/978, 6825/8307

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 6133/978,6825/8307

Given numbers are 6133/978,6825/8307

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 6133,6825

Least Common Multiple of Numerators i.e. LCM of 6133,6825 is 41857725.

GCF of Denominators means GCF of 978,8307 as per the given fractions.

GCF of 978,8307 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6133,6825

LCM of Fractions 6133/978,6825/8307 is 13952575

Given numbers has no common factors except 1. So, there LCM is their product i.e 41857725

Least Common Multiple of 6133,6825 with GCF Formula

Least Common Multiple of 6133,6825 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 6133,6825 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6133,6825) = 1

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

GCF(6133,6825) x common factors =1 x 1 = 1

LCM(6133,6825) = ( 6133 × 6825 ) / 1

LCM(6133,6825) = 41857725 / 1

LCM(6133,6825) = 41857725


Lets's calculate GCF of 978,8307

3 978, 8307
326, 2769

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41857725/3

Therefore the LCM of Fractions 6133/978,6825/8307 is 13952575

Greatest Common Factor of 978,8307 By Matching Biggest Common Factor Method

Greatest Common Factor of 978,8307 By Matching Biggest Common Factor Method

Factors of 978

List of positive integer factors of 978 that divides 978 without a remainder.

1,2,3,6,163,326,489,978

Factors of 8307

List of positive integer factors of 8307 that divides 8307 without a remainder.

1,3,9,13,39,71,117,213,639,923,2769,8307

Greatest Common Factor

We found the factors 978,8307 . The biggest common factor number is the GCF number.
So the greatest common factor 978,8307 is 3.


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 6133/978, 6825/8307

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 6133/978, 6825/8307?

Answer: LCM of Numerators as per given numbers 6133/978, 6825/8307 is

LCM of Numerators i.e. for 6133,6825 is 41857725

GCF of denominators i.e. for 978,8307 is 3.

Thus, LCM of Fractions is 13952575.Finally, LCM of Fractions for 6133/978, 6825/8307 is 13952575.