Least Common Multiple of 18/219, 209/874, 711/260

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 18/219, 209/874, 711/260 quickly i.e. 297198 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 18/219, 209/874, 711/260 is 297198.

LCM(18/219, 209/874, 711/260) = 297198

LCM of 18/219, 209/874, 711/260

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 18/219,209/874,711/260

Given numbers are 18/219,209/874,711/260

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 18,209,711

Least Common Multiple of Numerators i.e. LCM of 18,209,711 is 297198.

GCF of Denominators means GCF of 219,874,260 as per the given fractions.

GCF of 219,874,260 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 18,209,711

LCM of Fractions 18/219,209/874,711/260 is 297198

3 18, 209, 711
3 6, 209, 237
2, 209, 79

∴ So the LCM of the given numbers is 3 x 3 x 2 x 209 x 79 = 297198

Least Common Multiple of 18,209,711 with GCF Formula

Least Common Multiple of 18,209,711 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 18,209,711 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,209,711) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(18,209,711) x common factors =1 x 9 = 9

LCM(18,209,711) = ( 18 × 209 × 711 ) / 9

LCM(18,209,711) = 2674782 / 9

LCM(18,209,711) = 297198


Lets's calculate GCF of 219,874,260

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 297198/1

Therefore the LCM of Fractions 18/219,209/874,711/260 is 297198

Greatest Common Factor of 219,874,260 By Matching Biggest Common Factor Method

Greatest Common Factor of 219,874,260 By Matching Biggest Common Factor Method

Factors of 219

List of positive integer factors of 219 that divides 219 without a remainder.

1,3,73,219

Factors of 874

List of positive integer factors of 874 that divides 874 without a remainder.

1,2,19,23,38,46,437,874

Factors of 260

List of positive integer factors of 260 that divides 260 without a remainder.

1,2,4,5,10,13,20,26,52,65,130,260

Greatest Common Factor

We found the factors 219,874,260 . The biggest common factor number is the GCF number.
So the greatest common factor 219,874,260 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 18/219, 209/874, 711/260

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 18/219, 209/874, 711/260?

Answer: LCM of Numerators as per given numbers 18/219, 209/874, 711/260 is

LCM of Numerators i.e. for 18,209,711 is 297198

GCF of denominators i.e. for 219,874,260 is 1.

Thus, LCM of Fractions is 297198.Finally, LCM of Fractions for 18/219, 209/874, 711/260 is 297198.