Least Common Multiple of 989/574, 5242/5513

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 989/574, 5242/5513 quickly i.e. 5184338 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 989/574, 5242/5513 is 5184338.

LCM(989/574, 5242/5513) = 5184338

LCM of 989/574, 5242/5513

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 989/574,5242/5513

Given numbers are 989/574,5242/5513

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 989,5242

Least Common Multiple of Numerators i.e. LCM of 989,5242 is 5184338.

GCF of Denominators means GCF of 574,5513 as per the given fractions.

GCF of 574,5513 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 989,5242

LCM of Fractions 989/574,5242/5513 is 5184338

Given numbers has no common factors except 1. So, there LCM is their product i.e 5184338

Least Common Multiple of 989,5242 with GCF Formula

Least Common Multiple of 989,5242 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 989,5242 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(989,5242) = 1

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

GCF(989,5242) x common factors =1 x 1 = 1

LCM(989,5242) = ( 989 × 5242 ) / 1

LCM(989,5242) = 5184338 / 1

LCM(989,5242) = 5184338


Lets's calculate GCF of 574,5513

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5184338/1

Therefore the LCM of Fractions 989/574,5242/5513 is 5184338

Greatest Common Factor of 574,5513 By Matching Biggest Common Factor Method

Greatest Common Factor of 574,5513 By Matching Biggest Common Factor Method

Factors of 574

List of positive integer factors of 574 that divides 574 without a remainder.

1,2,7,14,41,82,287,574

Factors of 5513

List of positive integer factors of 5513 that divides 5513 without a remainder.

1,37,149,5513

Greatest Common Factor

We found the factors 574,5513 . The biggest common factor number is the GCF number.
So the greatest common factor 574,5513 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 989/574, 5242/5513

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 989/574, 5242/5513?

Answer: LCM of Numerators as per given numbers 989/574, 5242/5513 is

LCM of Numerators i.e. for 989,5242 is 5184338

GCF of denominators i.e. for 574,5513 is 1.

Thus, LCM of Fractions is 5184338.Finally, LCM of Fractions for 989/574, 5242/5513 is 5184338.