Least Common Multiple of 513/251, 3302/2189

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 513/251, 3302/2189 quickly i.e. 1693926 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 513/251, 3302/2189 is 1693926.

LCM(513/251, 3302/2189) = 1693926

LCM of 513/251, 3302/2189

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 513/251,3302/2189

Given numbers are 513/251,3302/2189

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 513,3302

Least Common Multiple of Numerators i.e. LCM of 513,3302 is 1693926.

GCF of Denominators means GCF of 251,2189 as per the given fractions.

GCF of 251,2189 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 513,3302

LCM of Fractions 513/251,3302/2189 is 1693926

Given numbers has no common factors except 1. So, there LCM is their product i.e 1693926

Least Common Multiple of 513,3302 with GCF Formula

Least Common Multiple of 513,3302 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 513,3302 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(513,3302) = 1

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

GCF(513,3302) x common factors =1 x 1 = 1

LCM(513,3302) = ( 513 × 3302 ) / 1

LCM(513,3302) = 1693926 / 1

LCM(513,3302) = 1693926


Lets's calculate GCF of 251,2189

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1693926/1

Therefore the LCM of Fractions 513/251,3302/2189 is 1693926

Greatest Common Factor of 251,2189 By Matching Biggest Common Factor Method

Greatest Common Factor of 251,2189 By Matching Biggest Common Factor Method

Factors of 251

List of positive integer factors of 251 that divides 251 without a remainder.

1,251

Factors of 2189

List of positive integer factors of 2189 that divides 2189 without a remainder.

1,11,199,2189

Greatest Common Factor

We found the factors 251,2189 . The biggest common factor number is the GCF number.
So the greatest common factor 251,2189 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 513/251, 3302/2189

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 513/251, 3302/2189?

Answer: LCM of Numerators as per given numbers 513/251, 3302/2189 is

LCM of Numerators i.e. for 513,3302 is 1693926

GCF of denominators i.e. for 251,2189 is 1.

Thus, LCM of Fractions is 1693926.Finally, LCM of Fractions for 513/251, 3302/2189 is 1693926.