Least Common Multiple of 721/321, 409/874

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 721/321, 409/874 quickly i.e. 294889 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 721/321, 409/874 is 294889.

LCM(721/321, 409/874) = 294889

LCM of 721/321, 409/874

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 721/321,409/874

Given numbers are 721/321,409/874

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 721,409

Least Common Multiple of Numerators i.e. LCM of 721,409 is 294889.

GCF of Denominators means GCF of 321,874 as per the given fractions.

GCF of 321,874 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 721,409

LCM of Fractions 721/321,409/874 is 294889

Given numbers has no common factors except 1. So, there LCM is their product i.e 294889

Least Common Multiple of 721,409 with GCF Formula

Least Common Multiple of 721,409 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 721,409 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(721,409) = 1

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

GCF(721,409) x common factors =1 x 1 = 1

LCM(721,409) = ( 721 × 409 ) / 1

LCM(721,409) = 294889 / 1

LCM(721,409) = 294889


Lets's calculate GCF of 321,874

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 294889/1

Therefore the LCM of Fractions 721/321,409/874 is 294889

Greatest Common Factor of 321,874 By Matching Biggest Common Factor Method

Greatest Common Factor of 321,874 By Matching Biggest Common Factor Method

Factors of 321

List of positive integer factors of 321 that divides 321 without a remainder.

1,3,107,321

Factors of 874

List of positive integer factors of 874 that divides 874 without a remainder.

1,2,19,23,38,46,437,874

Greatest Common Factor

We found the factors 321,874 . The biggest common factor number is the GCF number.
So the greatest common factor 321,874 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 721/321, 409/874

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 721/321, 409/874?

Answer: LCM of Numerators as per given numbers 721/321, 409/874 is

LCM of Numerators i.e. for 721,409 is 294889

GCF of denominators i.e. for 321,874 is 1.

Thus, LCM of Fractions is 294889.Finally, LCM of Fractions for 721/321, 409/874 is 294889.