Least Common Multiple of 777/301, 2412/872

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 777/301, 2412/872 quickly i.e. 624708 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 777/301, 2412/872 is 624708.

LCM(777/301, 2412/872) = 624708

LCM of 777/301, 2412/872

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 777/301,2412/872

Given numbers are 777/301,2412/872

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 777,2412

Least Common Multiple of Numerators i.e. LCM of 777,2412 is 624708.

GCF of Denominators means GCF of 301,872 as per the given fractions.

GCF of 301,872 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 777,2412

LCM of Fractions 777/301,2412/872 is 624708

3 777, 2412
259, 804

∴ So the LCM of the given numbers is 3 x 259 x 804 = 624708

Least Common Multiple of 777,2412 with GCF Formula

Least Common Multiple of 777,2412 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 777,2412 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(777,2412) = 3

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

GCF(777,2412) x common factors =3 x 1 = 3

LCM(777,2412) = ( 777 × 2412 ) / 3

LCM(777,2412) = 1874124 / 3

LCM(777,2412) = 624708


Lets's calculate GCF of 301,872

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 624708/1

Therefore the LCM of Fractions 777/301,2412/872 is 624708

Greatest Common Factor of 301,872 By Matching Biggest Common Factor Method

Greatest Common Factor of 301,872 By Matching Biggest Common Factor Method

Factors of 301

List of positive integer factors of 301 that divides 301 without a remainder.

1,7,43,301

Factors of 872

List of positive integer factors of 872 that divides 872 without a remainder.

1,2,4,8,109,218,436,872

Greatest Common Factor

We found the factors 301,872 . The biggest common factor number is the GCF number.
So the greatest common factor 301,872 is 1.


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 777/301, 2412/872

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 777/301, 2412/872?

Answer: LCM of Numerators as per given numbers 777/301, 2412/872 is

LCM of Numerators i.e. for 777,2412 is 624708

GCF of denominators i.e. for 301,872 is 1.

Thus, LCM of Fractions is 624708.Finally, LCM of Fractions for 777/301, 2412/872 is 624708.