Least Common Multiple of 2721/816, 3214/679

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2721/816, 3214/679 quickly i.e. 8745294 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2721/816, 3214/679 is 8745294.

LCM(2721/816, 3214/679) = 8745294

LCM of 2721/816, 3214/679

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 2721/816,3214/679

Given numbers are 2721/816,3214/679

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 2721,3214

Least Common Multiple of Numerators i.e. LCM of 2721,3214 is 8745294.

GCF of Denominators means GCF of 816,679 as per the given fractions.

GCF of 816,679 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2721,3214

LCM of Fractions 2721/816,3214/679 is 8745294

Given numbers has no common factors except 1. So, there LCM is their product i.e 8745294

Least Common Multiple of 2721,3214 with GCF Formula

Least Common Multiple of 2721,3214 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 2721,3214 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2721,3214) = 1

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

GCF(2721,3214) x common factors =1 x 1 = 1

LCM(2721,3214) = ( 2721 × 3214 ) / 1

LCM(2721,3214) = 8745294 / 1

LCM(2721,3214) = 8745294


Lets's calculate GCF of 816,679

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8745294/1

Therefore the LCM of Fractions 2721/816,3214/679 is 8745294

Greatest Common Factor of 816,679 By Matching Biggest Common Factor Method

Greatest Common Factor of 816,679 By Matching Biggest Common Factor Method

Factors of 816

List of positive integer factors of 816 that divides 816 without a remainder.

1,2,3,4,6,8,12,16,17,24,34,48,51,68,102,136,204,272,408,816

Factors of 679

List of positive integer factors of 679 that divides 679 without a remainder.

1,7,97,679

Greatest Common Factor

We found the factors 816,679 . The biggest common factor number is the GCF number.
So the greatest common factor 816,679 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 2721/816, 3214/679

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 2721/816, 3214/679?

Answer: LCM of Numerators as per given numbers 2721/816, 3214/679 is

LCM of Numerators i.e. for 2721,3214 is 8745294

GCF of denominators i.e. for 816,679 is 1.

Thus, LCM of Fractions is 8745294.Finally, LCM of Fractions for 2721/816, 3214/679 is 8745294.