Least Common Multiple of 2508/757, 1464/6691

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2508/757, 1464/6691 quickly i.e. 305976 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2508/757, 1464/6691 is 305976.

LCM(2508/757, 1464/6691) = 305976

LCM of 2508/757, 1464/6691

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 2508/757,1464/6691

Given numbers are 2508/757,1464/6691

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 2508,1464

Least Common Multiple of Numerators i.e. LCM of 2508,1464 is 305976.

GCF of Denominators means GCF of 757,6691 as per the given fractions.

GCF of 757,6691 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2508,1464

LCM of Fractions 2508/757,1464/6691 is 305976

2 2508, 1464
2 1254, 732
3 627, 366
209, 122

∴ So the LCM of the given numbers is 2 x 2 x 3 x 209 x 122 = 305976

Least Common Multiple of 2508,1464 with GCF Formula

Least Common Multiple of 2508,1464 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 2508,1464 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2508,1464) = 12

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

GCF(2508,1464) x common factors =12 x 1 = 12

LCM(2508,1464) = ( 2508 × 1464 ) / 12

LCM(2508,1464) = 3671712 / 12

LCM(2508,1464) = 305976


Lets's calculate GCF of 757,6691

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 305976/1

Therefore the LCM of Fractions 2508/757,1464/6691 is 305976

Greatest Common Factor of 757,6691 By Matching Biggest Common Factor Method

Greatest Common Factor of 757,6691 By Matching Biggest Common Factor Method

Factors of 757

List of positive integer factors of 757 that divides 757 without a remainder.

1,757

Factors of 6691

List of positive integer factors of 6691 that divides 6691 without a remainder.

1,6691

Greatest Common Factor

We found the factors 757,6691 . The biggest common factor number is the GCF number.
So the greatest common factor 757,6691 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 2508/757, 1464/6691

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 2508/757, 1464/6691?

Answer: LCM of Numerators as per given numbers 2508/757, 1464/6691 is

LCM of Numerators i.e. for 2508,1464 is 305976

GCF of denominators i.e. for 757,6691 is 1.

Thus, LCM of Fractions is 305976.Finally, LCM of Fractions for 2508/757, 1464/6691 is 305976.