Least Common Multiple of 289/499, 2222/5409

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 289/499, 2222/5409 quickly i.e. 642158 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 289/499, 2222/5409 is 642158.

LCM(289/499, 2222/5409) = 642158

LCM of 289/499, 2222/5409

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 289/499,2222/5409

Given numbers are 289/499,2222/5409

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 289,2222

Least Common Multiple of Numerators i.e. LCM of 289,2222 is 642158.

GCF of Denominators means GCF of 499,5409 as per the given fractions.

GCF of 499,5409 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 289,2222

LCM of Fractions 289/499,2222/5409 is 642158

Given numbers has no common factors except 1. So, there LCM is their product i.e 642158

Least Common Multiple of 289,2222 with GCF Formula

Least Common Multiple of 289,2222 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 289,2222 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(289,2222) = 1

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

GCF(289,2222) x common factors =1 x 1 = 1

LCM(289,2222) = ( 289 × 2222 ) / 1

LCM(289,2222) = 642158 / 1

LCM(289,2222) = 642158


Lets's calculate GCF of 499,5409

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 642158/1

Therefore the LCM of Fractions 289/499,2222/5409 is 642158

Greatest Common Factor of 499,5409 By Matching Biggest Common Factor Method

Greatest Common Factor of 499,5409 By Matching Biggest Common Factor Method

Factors of 499

List of positive integer factors of 499 that divides 499 without a remainder.

1,499

Factors of 5409

List of positive integer factors of 5409 that divides 5409 without a remainder.

1,3,9,601,1803,5409

Greatest Common Factor

We found the factors 499,5409 . The biggest common factor number is the GCF number.
So the greatest common factor 499,5409 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 289/499, 2222/5409

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 289/499, 2222/5409?

Answer: LCM of Numerators as per given numbers 289/499, 2222/5409 is

LCM of Numerators i.e. for 289,2222 is 642158

GCF of denominators i.e. for 499,5409 is 1.

Thus, LCM of Fractions is 642158.Finally, LCM of Fractions for 289/499, 2222/5409 is 642158.