Least Common Multiple of 13/206, 4030/6500

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 13/206, 4030/6500 quickly i.e. 2015 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 13/206, 4030/6500 is 2015.

LCM(13/206, 4030/6500) = 2015

LCM of 13/206, 4030/6500

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 13/206,4030/6500

Given numbers are 13/206,4030/6500

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 13,4030

Least Common Multiple of Numerators i.e. LCM of 13,4030 is 4030.

GCF of Denominators means GCF of 206,6500 as per the given fractions.

GCF of 206,6500 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 13,4030

LCM of Fractions 13/206,4030/6500 is 2015

13 13, 4030
1, 310

∴ So the LCM of the given numbers is 13 x 1 x 310 = 4030

Least Common Multiple of 13,4030 with GCF Formula

Least Common Multiple of 13,4030 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 13,4030 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,4030) = 13

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

GCF(13,4030) x common factors =13 x 1 = 13

LCM(13,4030) = ( 13 × 4030 ) / 13

LCM(13,4030) = 52390 / 13

LCM(13,4030) = 4030


Lets's calculate GCF of 206,6500

2 206, 6500
103, 3250

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4030/2

Therefore the LCM of Fractions 13/206,4030/6500 is 2015

Greatest Common Factor of 206,6500 By Matching Biggest Common Factor Method

Greatest Common Factor of 206,6500 By Matching Biggest Common Factor Method

Factors of 206

List of positive integer factors of 206 that divides 206 without a remainder.

1,2,103,206

Factors of 6500

List of positive integer factors of 6500 that divides 6500 without a remainder.

1,2,4,5,10,13,20,25,26,50,52,65,100,125,130,250,260,325,500,650,1300,1625,3250,6500

Greatest Common Factor

We found the factors 206,6500 . The biggest common factor number is the GCF number.
So the greatest common factor 206,6500 is 2.


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 13/206, 4030/6500

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 13/206, 4030/6500?

Answer: LCM of Numerators as per given numbers 13/206, 4030/6500 is

LCM of Numerators i.e. for 13,4030 is 4030

GCF of denominators i.e. for 206,6500 is 2.

Thus, LCM of Fractions is 2015.Finally, LCM of Fractions for 13/206, 4030/6500 is 2015.