Least Common Multiple of 14/558, 19/183, 213/320

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 14/558, 19/183, 213/320 quickly i.e. 56658 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 14/558, 19/183, 213/320 is 56658.

LCM(14/558, 19/183, 213/320) = 56658

LCM of 14/558, 19/183, 213/320

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 14/558,19/183,213/320

Given numbers are 14/558,19/183,213/320

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 14,19,213

Least Common Multiple of Numerators i.e. LCM of 14,19,213 is 56658.

GCF of Denominators means GCF of 558,183,320 as per the given fractions.

GCF of 558,183,320 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 14,19,213

LCM of Fractions 14/558,19/183,213/320 is 56658

Given numbers has no common factors except 1. So, there LCM is their product i.e 56658

Least Common Multiple of 14,19,213 with GCF Formula

Least Common Multiple of 14,19,213 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 14,19,213 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,19,213) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(14,19,213) x common factors =1 x 1 = 1

LCM(14,19,213) = ( 14 × 19 × 213 ) / 1

LCM(14,19,213) = 56658 / 1

LCM(14,19,213) = 56658


Lets's calculate GCF of 558,183,320

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 56658/1

Therefore the LCM of Fractions 14/558,19/183,213/320 is 56658

Greatest Common Factor of 558,183,320 By Matching Biggest Common Factor Method

Greatest Common Factor of 558,183,320 By Matching Biggest Common Factor Method

Factors of 558

List of positive integer factors of 558 that divides 558 without a remainder.

1,2,3,6,9,18,31,62,93,186,279,558

Factors of 183

List of positive integer factors of 183 that divides 183 without a remainder.

1,3,61,183

Factors of 320

List of positive integer factors of 320 that divides 320 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,160,320

Greatest Common Factor

We found the factors 558,183,320 . The biggest common factor number is the GCF number.
So the greatest common factor 558,183,320 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 14/558, 19/183, 213/320

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 14/558, 19/183, 213/320?

Answer: LCM of Numerators as per given numbers 14/558, 19/183, 213/320 is

LCM of Numerators i.e. for 14,19,213 is 56658

GCF of denominators i.e. for 558,183,320 is 1.

Thus, LCM of Fractions is 56658.Finally, LCM of Fractions for 14/558, 19/183, 213/320 is 56658.