Least Common Multiple of 2561/921, 5966/7998

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 2561/921, 5966/7998 quickly i.e. 15278926/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2561/921, 5966/7998 is 15278926/3.

LCM(2561/921, 5966/7998) = 15278926/3

LCM of 2561/921, 5966/7998

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 2561/921,5966/7998

Given numbers are 2561/921,5966/7998

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 2561,5966

Least Common Multiple of Numerators i.e. LCM of 2561,5966 is 15278926.

GCF of Denominators means GCF of 921,7998 as per the given fractions.

GCF of 921,7998 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2561,5966

LCM of Fractions 2561/921,5966/7998 is 15278926/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 15278926

Least Common Multiple of 2561,5966 with GCF Formula

Least Common Multiple of 2561,5966 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 2561,5966 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2561,5966) = 1

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

GCF(2561,5966) x common factors =1 x 1 = 1

LCM(2561,5966) = ( 2561 × 5966 ) / 1

LCM(2561,5966) = 15278926 / 1

LCM(2561,5966) = 15278926


Lets's calculate GCF of 921,7998

3 921, 7998
307, 2666

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15278926/3

Therefore the LCM of Fractions 2561/921,5966/7998 is 15278926/3

Greatest Common Factor of 921,7998 By Matching Biggest Common Factor Method

Greatest Common Factor of 921,7998 By Matching Biggest Common Factor Method

Factors of 921

List of positive integer factors of 921 that divides 921 without a remainder.

1,3,307,921

Factors of 7998

List of positive integer factors of 7998 that divides 7998 without a remainder.

1,2,3,6,31,43,62,86,93,129,186,258,1333,2666,3999,7998

Greatest Common Factor

We found the factors 921,7998 . The biggest common factor number is the GCF number.
So the greatest common factor 921,7998 is 3.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 2561/921, 5966/7998

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 2561/921, 5966/7998?

Answer: LCM of Numerators as per given numbers 2561/921, 5966/7998 is

LCM of Numerators i.e. for 2561,5966 is 15278926

GCF of denominators i.e. for 921,7998 is 3.

Thus, LCM of Fractions is 15278926/3.Finally, LCM of Fractions for 2561/921, 5966/7998 is 15278926/3.