Least Common Multiple of 6256/765, 4589/6636

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6256/765, 4589/6636 quickly i.e. 28708784/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6256/765, 4589/6636 is 28708784/3.

LCM(6256/765, 4589/6636) = 28708784/3

LCM of 6256/765, 4589/6636

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 6256/765,4589/6636

Given numbers are 6256/765,4589/6636

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 6256,4589

Least Common Multiple of Numerators i.e. LCM of 6256,4589 is 28708784.

GCF of Denominators means GCF of 765,6636 as per the given fractions.

GCF of 765,6636 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6256,4589

LCM of Fractions 6256/765,4589/6636 is 28708784/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 28708784

Least Common Multiple of 6256,4589 with GCF Formula

Least Common Multiple of 6256,4589 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 6256,4589 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6256,4589) = 1

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

GCF(6256,4589) x common factors =1 x 1 = 1

LCM(6256,4589) = ( 6256 × 4589 ) / 1

LCM(6256,4589) = 28708784 / 1

LCM(6256,4589) = 28708784


Lets's calculate GCF of 765,6636

3 765, 6636
255, 2212

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28708784/3

Therefore the LCM of Fractions 6256/765,4589/6636 is 28708784/3

Greatest Common Factor of 765,6636 By Matching Biggest Common Factor Method

Greatest Common Factor of 765,6636 By Matching Biggest Common Factor Method

Factors of 765

List of positive integer factors of 765 that divides 765 without a remainder.

1,3,5,9,15,17,45,51,85,153,255,765

Factors of 6636

List of positive integer factors of 6636 that divides 6636 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,79,84,158,237,316,474,553,948,1106,1659,2212,3318,6636

Greatest Common Factor

We found the factors 765,6636 . The biggest common factor number is the GCF number.
So the greatest common factor 765,6636 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 6256/765, 4589/6636

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 6256/765, 4589/6636?

Answer: LCM of Numerators as per given numbers 6256/765, 4589/6636 is

LCM of Numerators i.e. for 6256,4589 is 28708784

GCF of denominators i.e. for 765,6636 is 3.

Thus, LCM of Fractions is 28708784/3.Finally, LCM of Fractions for 6256/765, 4589/6636 is 28708784/3.