Least Common Multiple of 43/205, 22/575, 211/117

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 43/205, 22/575, 211/117 quickly i.e. 199606 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 43/205, 22/575, 211/117 is 199606.

LCM(43/205, 22/575, 211/117) = 199606

LCM of 43/205, 22/575, 211/117

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 43/205,22/575,211/117

Given numbers are 43/205,22/575,211/117

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 43,22,211

Least Common Multiple of Numerators i.e. LCM of 43,22,211 is 199606.

GCF of Denominators means GCF of 205,575,117 as per the given fractions.

GCF of 205,575,117 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 43,22,211

LCM of Fractions 43/205,22/575,211/117 is 199606

Given numbers has no common factors except 1. So, there LCM is their product i.e 199606

Least Common Multiple of 43,22,211 with GCF Formula

Least Common Multiple of 43,22,211 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 43,22,211 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,22,211) = 1

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

GCF(43,22,211) x common factors =1 x 1 = 1

LCM(43,22,211) = ( 43 × 22 × 211 ) / 1

LCM(43,22,211) = 199606 / 1

LCM(43,22,211) = 199606


Lets's calculate GCF of 205,575,117

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 199606/1

Therefore the LCM of Fractions 43/205,22/575,211/117 is 199606

Greatest Common Factor of 205,575,117 By Matching Biggest Common Factor Method

Greatest Common Factor of 205,575,117 By Matching Biggest Common Factor Method

Factors of 205

List of positive integer factors of 205 that divides 205 without a remainder.

1,5,41,205

Factors of 575

List of positive integer factors of 575 that divides 575 without a remainder.

1,5,23,25,115,575

Factors of 117

List of positive integer factors of 117 that divides 117 without a remainder.

1,3,9,13,39,117

Greatest Common Factor

We found the factors 205,575,117 . The biggest common factor number is the GCF number.
So the greatest common factor 205,575,117 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 43/205, 22/575, 211/117

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 43/205, 22/575, 211/117?

Answer: LCM of Numerators as per given numbers 43/205, 22/575, 211/117 is

LCM of Numerators i.e. for 43,22,211 is 199606

GCF of denominators i.e. for 205,575,117 is 1.

Thus, LCM of Fractions is 199606.Finally, LCM of Fractions for 43/205, 22/575, 211/117 is 199606.