Least Common Multiple of 101/34, 202/84, 209/540

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 101/34, 202/84, 209/540 quickly i.e. 21109 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 101/34, 202/84, 209/540 is 21109.

LCM(101/34, 202/84, 209/540) = 21109

LCM of 101/34, 202/84, 209/540

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 101/34,202/84,209/540

Given numbers are 101/34,202/84,209/540

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 101,202,209

Least Common Multiple of Numerators i.e. LCM of 101,202,209 is 42218.

GCF of Denominators means GCF of 34,84,540 as per the given fractions.

GCF of 34,84,540 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 101,202,209

LCM of Fractions 101/34,202/84,209/540 is 21109

101 101, 202, 209
1, 2, 209

∴ So the LCM of the given numbers is 101 x 1 x 2 x 209 = 42218

Least Common Multiple of 101,202,209 with GCF Formula

Least Common Multiple of 101,202,209 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 101,202,209 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(101,202,209) = 1

common factors(in case of two or more numbers have common factors) = 101

GCF(101,202,209) x common factors =1 x 101 = 101

LCM(101,202,209) = ( 101 × 202 × 209 ) / 101

LCM(101,202,209) = 4264018 / 101

LCM(101,202,209) = 42218


Lets's calculate GCF of 34,84,540

2 34, 84, 540
17, 42, 270

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42218/2

Therefore the LCM of Fractions 101/34,202/84,209/540 is 21109

Greatest Common Factor of 34,84,540 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,84,540 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 540

List of positive integer factors of 540 that divides 540 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,90,108,135,180,270,540

Greatest Common Factor

We found the factors 34,84,540 . The biggest common factor number is the GCF number.
So the greatest common factor 34,84,540 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 101/34, 202/84, 209/540

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 101/34, 202/84, 209/540?

Answer: LCM of Numerators as per given numbers 101/34, 202/84, 209/540 is

LCM of Numerators i.e. for 101,202,209 is 42218

GCF of denominators i.e. for 34,84,540 is 2.

Thus, LCM of Fractions is 21109.Finally, LCM of Fractions for 101/34, 202/84, 209/540 is 21109.