Least Common Multiple of 815/408, 595/470, 213/116

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 815/408, 595/470, 213/116 quickly i.e. 20657805/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 815/408, 595/470, 213/116 is 20657805/2.

LCM(815/408, 595/470, 213/116) = 20657805/2

LCM of 815/408, 595/470, 213/116

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 815/408,595/470,213/116

Given numbers are 815/408,595/470,213/116

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 815,595,213

Least Common Multiple of Numerators i.e. LCM of 815,595,213 is 20657805.

GCF of Denominators means GCF of 408,470,116 as per the given fractions.

GCF of 408,470,116 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 815,595,213

LCM of Fractions 815/408,595/470,213/116 is 20657805/2

5 815, 595, 213
163, 119, 213

∴ So the LCM of the given numbers is 5 x 163 x 119 x 213 = 20657805

Least Common Multiple of 815,595,213 with GCF Formula

Least Common Multiple of 815,595,213 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 815,595,213 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(815,595,213) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(815,595,213) x common factors =1 x 5 = 5

LCM(815,595,213) = ( 815 × 595 × 213 ) / 5

LCM(815,595,213) = 103289025 / 5

LCM(815,595,213) = 20657805


Lets's calculate GCF of 408,470,116

2 408, 470, 116
204, 235, 58

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20657805/2

Therefore the LCM of Fractions 815/408,595/470,213/116 is 20657805/2

Greatest Common Factor of 408,470,116 By Matching Biggest Common Factor Method

Greatest Common Factor of 408,470,116 By Matching Biggest Common Factor Method

Factors of 408

List of positive integer factors of 408 that divides 408 without a remainder.

1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408

Factors of 470

List of positive integer factors of 470 that divides 470 without a remainder.

1,2,5,10,47,94,235,470

Factors of 116

List of positive integer factors of 116 that divides 116 without a remainder.

1,2,4,29,58,116

Greatest Common Factor

We found the factors 408,470,116 . The biggest common factor number is the GCF number.
So the greatest common factor 408,470,116 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 815/408, 595/470, 213/116

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 815/408, 595/470, 213/116?

Answer: LCM of Numerators as per given numbers 815/408, 595/470, 213/116 is

LCM of Numerators i.e. for 815,595,213 is 20657805

GCF of denominators i.e. for 408,470,116 is 2.

Thus, LCM of Fractions is 20657805/2.Finally, LCM of Fractions for 815/408, 595/470, 213/116 is 20657805/2.