Least Common Multiple of 2698/676, 4497/2581

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2698/676, 4497/2581 quickly i.e. 12132906 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2698/676, 4497/2581 is 12132906.

LCM(2698/676, 4497/2581) = 12132906

LCM of 2698/676, 4497/2581

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 2698/676,4497/2581

Given numbers are 2698/676,4497/2581

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 2698,4497

Least Common Multiple of Numerators i.e. LCM of 2698,4497 is 12132906.

GCF of Denominators means GCF of 676,2581 as per the given fractions.

GCF of 676,2581 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2698,4497

LCM of Fractions 2698/676,4497/2581 is 12132906

Given numbers has no common factors except 1. So, there LCM is their product i.e 12132906

Least Common Multiple of 2698,4497 with GCF Formula

Least Common Multiple of 2698,4497 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 2698,4497 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2698,4497) = 1

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

GCF(2698,4497) x common factors =1 x 1 = 1

LCM(2698,4497) = ( 2698 × 4497 ) / 1

LCM(2698,4497) = 12132906 / 1

LCM(2698,4497) = 12132906


Lets's calculate GCF of 676,2581

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12132906/1

Therefore the LCM of Fractions 2698/676,4497/2581 is 12132906

Greatest Common Factor of 676,2581 By Matching Biggest Common Factor Method

Greatest Common Factor of 676,2581 By Matching Biggest Common Factor Method

Factors of 676

List of positive integer factors of 676 that divides 676 without a remainder.

1,2,4,13,26,52,169,338,676

Factors of 2581

List of positive integer factors of 2581 that divides 2581 without a remainder.

1,29,89,2581

Greatest Common Factor

We found the factors 676,2581 . The biggest common factor number is the GCF number.
So the greatest common factor 676,2581 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 2698/676, 4497/2581

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 2698/676, 4497/2581?

Answer: LCM of Numerators as per given numbers 2698/676, 4497/2581 is

LCM of Numerators i.e. for 2698,4497 is 12132906

GCF of denominators i.e. for 676,2581 is 1.

Thus, LCM of Fractions is 12132906.Finally, LCM of Fractions for 2698/676, 4497/2581 is 12132906.