Least Common Multiple of 6809/146, 2017/220

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6809/146, 2017/220 quickly i.e. 13733753/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6809/146, 2017/220 is 13733753/2.

LCM(6809/146, 2017/220) = 13733753/2

LCM of 6809/146, 2017/220

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 6809/146,2017/220

Given numbers are 6809/146,2017/220

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 6809,2017

Least Common Multiple of Numerators i.e. LCM of 6809,2017 is 13733753.

GCF of Denominators means GCF of 146,220 as per the given fractions.

GCF of 146,220 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6809,2017

LCM of Fractions 6809/146,2017/220 is 13733753/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 13733753

Least Common Multiple of 6809,2017 with GCF Formula

Least Common Multiple of 6809,2017 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 6809,2017 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6809,2017) = 1

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

GCF(6809,2017) x common factors =1 x 1 = 1

LCM(6809,2017) = ( 6809 × 2017 ) / 1

LCM(6809,2017) = 13733753 / 1

LCM(6809,2017) = 13733753


Lets's calculate GCF of 146,220

2 146, 220
73, 110

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13733753/2

Therefore the LCM of Fractions 6809/146,2017/220 is 13733753/2

Greatest Common Factor of 146,220 By Matching Biggest Common Factor Method

Greatest Common Factor of 146,220 By Matching Biggest Common Factor Method

Factors of 146

List of positive integer factors of 146 that divides 146 without a remainder.

1,2,73,146

Factors of 220

List of positive integer factors of 220 that divides 220 without a remainder.

1,2,4,5,10,11,20,22,44,55,110,220

Greatest Common Factor

We found the factors 146,220 . The biggest common factor number is the GCF number.
So the greatest common factor 146,220 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 6809/146, 2017/220

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 6809/146, 2017/220?

Answer: LCM of Numerators as per given numbers 6809/146, 2017/220 is

LCM of Numerators i.e. for 6809,2017 is 13733753

GCF of denominators i.e. for 146,220 is 2.

Thus, LCM of Fractions is 13733753/2.Finally, LCM of Fractions for 6809/146, 2017/220 is 13733753/2.