Least Common Multiple of 28/220, 4338/6809

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 28/220, 4338/6809 quickly i.e. 60732/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 28/220, 4338/6809 is 60732/11.

LCM(28/220, 4338/6809) = 60732/11

LCM of 28/220, 4338/6809

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 28/220,4338/6809

Given numbers are 28/220,4338/6809

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 28,4338

Least Common Multiple of Numerators i.e. LCM of 28,4338 is 60732.

GCF of Denominators means GCF of 220,6809 as per the given fractions.

GCF of 220,6809 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 28,4338

LCM of Fractions 28/220,4338/6809 is 60732/11

2 28, 4338
14, 2169

∴ So the LCM of the given numbers is 2 x 14 x 2169 = 60732

Least Common Multiple of 28,4338 with GCF Formula

Least Common Multiple of 28,4338 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 28,4338 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,4338) = 2

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

GCF(28,4338) x common factors =2 x 1 = 2

LCM(28,4338) = ( 28 × 4338 ) / 2

LCM(28,4338) = 121464 / 2

LCM(28,4338) = 60732


Lets's calculate GCF of 220,6809

11 220, 6809
20, 619

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 60732/11

Therefore the LCM of Fractions 28/220,4338/6809 is 60732/11

Greatest Common Factor of 220,6809 By Matching Biggest Common Factor Method

Greatest Common Factor of 220,6809 By Matching Biggest Common Factor Method

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

Factors of 6809

List of positive integer factors of 6809 that divides 6809 without a remainder.

1,11,619,6809

Greatest Common Factor

We found the factors 220,6809 . The biggest common factor number is the GCF number.
So the greatest common factor 220,6809 is 11.


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 28/220, 4338/6809

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 28/220, 4338/6809?

Answer: LCM of Numerators as per given numbers 28/220, 4338/6809 is

LCM of Numerators i.e. for 28,4338 is 60732

GCF of denominators i.e. for 220,6809 is 11.

Thus, LCM of Fractions is 60732/11.Finally, LCM of Fractions for 28/220, 4338/6809 is 60732/11.