Least Common Multiple of 22/816, 180/184, 213/317

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 22/816, 180/184, 213/317 quickly i.e. 140580 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 22/816, 180/184, 213/317 is 140580.

LCM(22/816, 180/184, 213/317) = 140580

LCM of 22/816, 180/184, 213/317

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 22/816,180/184,213/317

Given numbers are 22/816,180/184,213/317

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 22,180,213

Least Common Multiple of Numerators i.e. LCM of 22,180,213 is 140580.

GCF of Denominators means GCF of 816,184,317 as per the given fractions.

GCF of 816,184,317 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 22,180,213

LCM of Fractions 22/816,180/184,213/317 is 140580

2 22, 180, 213
3 11, 90, 213
11, 30, 71

∴ So the LCM of the given numbers is 2 x 3 x 11 x 30 x 71 = 140580

Least Common Multiple of 22,180,213 with GCF Formula

Least Common Multiple of 22,180,213 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 22,180,213 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,180,213) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(22,180,213) x common factors =1 x 6 = 6

LCM(22,180,213) = ( 22 × 180 × 213 ) / 6

LCM(22,180,213) = 843480 / 6

LCM(22,180,213) = 140580


Lets's calculate GCF of 816,184,317

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 140580/1

Therefore the LCM of Fractions 22/816,180/184,213/317 is 140580

Greatest Common Factor of 816,184,317 By Matching Biggest Common Factor Method

Greatest Common Factor of 816,184,317 By Matching Biggest Common Factor Method

Factors of 816

List of positive integer factors of 816 that divides 816 without a remainder.

1,2,3,4,6,8,12,16,17,24,34,48,51,68,102,136,204,272,408,816

Factors of 184

List of positive integer factors of 184 that divides 184 without a remainder.

1,2,4,8,23,46,92,184

Factors of 317

List of positive integer factors of 317 that divides 317 without a remainder.

1,317

Greatest Common Factor

We found the factors 816,184,317 . The biggest common factor number is the GCF number.
So the greatest common factor 816,184,317 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 22/816, 180/184, 213/317

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 22/816, 180/184, 213/317?

Answer: LCM of Numerators as per given numbers 22/816, 180/184, 213/317 is

LCM of Numerators i.e. for 22,180,213 is 140580

GCF of denominators i.e. for 816,184,317 is 1.

Thus, LCM of Fractions is 140580.Finally, LCM of Fractions for 22/816, 180/184, 213/317 is 140580.