Least Common Multiple of 206/18, 176/43, 579/220

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 206/18, 176/43, 579/220 quickly i.e. 10496112 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 206/18, 176/43, 579/220 is 10496112.

LCM(206/18, 176/43, 579/220) = 10496112

LCM of 206/18, 176/43, 579/220

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 206/18,176/43,579/220

Given numbers are 206/18,176/43,579/220

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 206,176,579

Least Common Multiple of Numerators i.e. LCM of 206,176,579 is 10496112.

GCF of Denominators means GCF of 18,43,220 as per the given fractions.

GCF of 18,43,220 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 206,176,579

LCM of Fractions 206/18,176/43,579/220 is 10496112

2 206, 176, 579
103, 88, 579

∴ So the LCM of the given numbers is 2 x 103 x 88 x 579 = 10496112

Least Common Multiple of 206,176,579 with GCF Formula

Least Common Multiple of 206,176,579 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 206,176,579 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(206,176,579) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(206,176,579) x common factors =1 x 2 = 2

LCM(206,176,579) = ( 206 × 176 × 579 ) / 2

LCM(206,176,579) = 20992224 / 2

LCM(206,176,579) = 10496112


Lets's calculate GCF of 18,43,220

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10496112/1

Therefore the LCM of Fractions 206/18,176/43,579/220 is 10496112

Greatest Common Factor of 18,43,220 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,43,220 By Matching Biggest Common Factor Method

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

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 18,43,220 . The biggest common factor number is the GCF number.
So the greatest common factor 18,43,220 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 206/18, 176/43, 579/220

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 206/18, 176/43, 579/220?

Answer: LCM of Numerators as per given numbers 206/18, 176/43, 579/220 is

LCM of Numerators i.e. for 206,176,579 is 10496112

GCF of denominators i.e. for 18,43,220 is 1.

Thus, LCM of Fractions is 10496112.Finally, LCM of Fractions for 206/18, 176/43, 579/220 is 10496112.