Least Common Multiple of 8364/75, 7711/678

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8364/75, 7711/678 quickly i.e. 21498268 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8364/75, 7711/678 is 21498268.

LCM(8364/75, 7711/678) = 21498268

LCM of 8364/75, 7711/678

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 8364/75,7711/678

Given numbers are 8364/75,7711/678

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 8364,7711

Least Common Multiple of Numerators i.e. LCM of 8364,7711 is 64494804.

GCF of Denominators means GCF of 75,678 as per the given fractions.

GCF of 75,678 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8364,7711

LCM of Fractions 8364/75,7711/678 is 21498268

Given numbers has no common factors except 1. So, there LCM is their product i.e 64494804

Least Common Multiple of 8364,7711 with GCF Formula

Least Common Multiple of 8364,7711 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 8364,7711 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8364,7711) = 1

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

GCF(8364,7711) x common factors =1 x 1 = 1

LCM(8364,7711) = ( 8364 × 7711 ) / 1

LCM(8364,7711) = 64494804 / 1

LCM(8364,7711) = 64494804


Lets's calculate GCF of 75,678

3 75, 678
25, 226

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 64494804/3

Therefore the LCM of Fractions 8364/75,7711/678 is 21498268

Greatest Common Factor of 75,678 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,678 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 678

List of positive integer factors of 678 that divides 678 without a remainder.

1,2,3,6,113,226,339,678

Greatest Common Factor

We found the factors 75,678 . The biggest common factor number is the GCF number.
So the greatest common factor 75,678 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 8364/75, 7711/678

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 8364/75, 7711/678?

Answer: LCM of Numerators as per given numbers 8364/75, 7711/678 is

LCM of Numerators i.e. for 8364,7711 is 64494804

GCF of denominators i.e. for 75,678 is 3.

Thus, LCM of Fractions is 21498268.Finally, LCM of Fractions for 8364/75, 7711/678 is 21498268.