Least Common Multiple of 289/721, 404/557

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 289/721, 404/557 quickly i.e. 116756 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 289/721, 404/557 is 116756.

LCM(289/721, 404/557) = 116756

LCM of 289/721, 404/557

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 289/721,404/557

Given numbers are 289/721,404/557

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 289,404

Least Common Multiple of Numerators i.e. LCM of 289,404 is 116756.

GCF of Denominators means GCF of 721,557 as per the given fractions.

GCF of 721,557 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 289,404

LCM of Fractions 289/721,404/557 is 116756

Given numbers has no common factors except 1. So, there LCM is their product i.e 116756

Least Common Multiple of 289,404 with GCF Formula

Least Common Multiple of 289,404 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 289,404 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(289,404) = 1

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

GCF(289,404) x common factors =1 x 1 = 1

LCM(289,404) = ( 289 × 404 ) / 1

LCM(289,404) = 116756 / 1

LCM(289,404) = 116756


Lets's calculate GCF of 721,557

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 116756/1

Therefore the LCM of Fractions 289/721,404/557 is 116756

Greatest Common Factor of 721,557 By Matching Biggest Common Factor Method

Greatest Common Factor of 721,557 By Matching Biggest Common Factor Method

Factors of 721

List of positive integer factors of 721 that divides 721 without a remainder.

1,7,103,721

Factors of 557

List of positive integer factors of 557 that divides 557 without a remainder.

1,557

Greatest Common Factor

We found the factors 721,557 . The biggest common factor number is the GCF number.
So the greatest common factor 721,557 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 289/721, 404/557

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 289/721, 404/557?

Answer: LCM of Numerators as per given numbers 289/721, 404/557 is

LCM of Numerators i.e. for 289,404 is 116756

GCF of denominators i.e. for 721,557 is 1.

Thus, LCM of Fractions is 116756.Finally, LCM of Fractions for 289/721, 404/557 is 116756.