Least Common Multiple of 213/20, 690/37, 559/86

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 213/20, 690/37, 559/86 quickly i.e. 27385410 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 213/20, 690/37, 559/86 is 27385410.

LCM(213/20, 690/37, 559/86) = 27385410

LCM of 213/20, 690/37, 559/86

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 213/20,690/37,559/86

Given numbers are 213/20,690/37,559/86

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 213,690,559

Least Common Multiple of Numerators i.e. LCM of 213,690,559 is 27385410.

GCF of Denominators means GCF of 20,37,86 as per the given fractions.

GCF of 20,37,86 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 213,690,559

LCM of Fractions 213/20,690/37,559/86 is 27385410

3 213, 690, 559
71, 230, 559

∴ So the LCM of the given numbers is 3 x 71 x 230 x 559 = 27385410

Least Common Multiple of 213,690,559 with GCF Formula

Least Common Multiple of 213,690,559 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 213,690,559 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(213,690,559) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(213,690,559) x common factors =1 x 3 = 3

LCM(213,690,559) = ( 213 × 690 × 559 ) / 3

LCM(213,690,559) = 82156230 / 3

LCM(213,690,559) = 27385410


Lets's calculate GCF of 20,37,86

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27385410/1

Therefore the LCM of Fractions 213/20,690/37,559/86 is 27385410

Greatest Common Factor of 20,37,86 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,37,86 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Greatest Common Factor

We found the factors 20,37,86 . The biggest common factor number is the GCF number.
So the greatest common factor 20,37,86 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 213/20, 690/37, 559/86

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 213/20, 690/37, 559/86?

Answer: LCM of Numerators as per given numbers 213/20, 690/37, 559/86 is

LCM of Numerators i.e. for 213,690,559 is 27385410

GCF of denominators i.e. for 20,37,86 is 1.

Thus, LCM of Fractions is 27385410.Finally, LCM of Fractions for 213/20, 690/37, 559/86 is 27385410.