Least Common Multiple of 8988/755, 1578/7869

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8988/755, 1578/7869 quickly i.e. 2363844 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8988/755, 1578/7869 is 2363844.

LCM(8988/755, 1578/7869) = 2363844

LCM of 8988/755, 1578/7869

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 8988/755,1578/7869

Given numbers are 8988/755,1578/7869

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 8988,1578

Least Common Multiple of Numerators i.e. LCM of 8988,1578 is 2363844.

GCF of Denominators means GCF of 755,7869 as per the given fractions.

GCF of 755,7869 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8988,1578

LCM of Fractions 8988/755,1578/7869 is 2363844

2 8988, 1578
3 4494, 789
1498, 263

∴ So the LCM of the given numbers is 2 x 3 x 1498 x 263 = 2363844

Least Common Multiple of 8988,1578 with GCF Formula

Least Common Multiple of 8988,1578 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 8988,1578 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8988,1578) = 6

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

GCF(8988,1578) x common factors =6 x 1 = 6

LCM(8988,1578) = ( 8988 × 1578 ) / 6

LCM(8988,1578) = 14183064 / 6

LCM(8988,1578) = 2363844


Lets's calculate GCF of 755,7869

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2363844/1

Therefore the LCM of Fractions 8988/755,1578/7869 is 2363844

Greatest Common Factor of 755,7869 By Matching Biggest Common Factor Method

Greatest Common Factor of 755,7869 By Matching Biggest Common Factor Method

Factors of 755

List of positive integer factors of 755 that divides 755 without a remainder.

1,5,151,755

Factors of 7869

List of positive integer factors of 7869 that divides 7869 without a remainder.

1,3,43,61,129,183,2623,7869

Greatest Common Factor

We found the factors 755,7869 . The biggest common factor number is the GCF number.
So the greatest common factor 755,7869 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 8988/755, 1578/7869

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 8988/755, 1578/7869?

Answer: LCM of Numerators as per given numbers 8988/755, 1578/7869 is

LCM of Numerators i.e. for 8988,1578 is 2363844

GCF of denominators i.e. for 755,7869 is 1.

Thus, LCM of Fractions is 2363844.Finally, LCM of Fractions for 8988/755, 1578/7869 is 2363844.