Least Common Multiple of 710/384, 220/217, 274/191

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 710/384, 220/217, 274/191 quickly i.e. 2139940 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 710/384, 220/217, 274/191 is 2139940.

LCM(710/384, 220/217, 274/191) = 2139940

LCM of 710/384, 220/217, 274/191

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 710/384,220/217,274/191

Given numbers are 710/384,220/217,274/191

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 710,220,274

Least Common Multiple of Numerators i.e. LCM of 710,220,274 is 2139940.

GCF of Denominators means GCF of 384,217,191 as per the given fractions.

GCF of 384,217,191 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 710,220,274

LCM of Fractions 710/384,220/217,274/191 is 2139940

2 710, 220, 274
5 355, 110, 137
71, 22, 137

∴ So the LCM of the given numbers is 2 x 5 x 71 x 22 x 137 = 2139940

Least Common Multiple of 710,220,274 with GCF Formula

Least Common Multiple of 710,220,274 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 710,220,274 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(710,220,274) = 2

common factors(in case of two or more numbers have common factors) = 10

GCF(710,220,274) x common factors =2 x 10 = 20

LCM(710,220,274) = ( 710 × 220 × 274 ) / 20

LCM(710,220,274) = 42798800 / 20

LCM(710,220,274) = 2139940


Lets's calculate GCF of 384,217,191

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2139940/1

Therefore the LCM of Fractions 710/384,220/217,274/191 is 2139940

Greatest Common Factor of 384,217,191 By Matching Biggest Common Factor Method

Greatest Common Factor of 384,217,191 By Matching Biggest Common Factor Method

Factors of 384

List of positive integer factors of 384 that divides 384 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,384

Factors of 217

List of positive integer factors of 217 that divides 217 without a remainder.

1,7,31,217

Factors of 191

List of positive integer factors of 191 that divides 191 without a remainder.

1,191

Greatest Common Factor

We found the factors 384,217,191 . The biggest common factor number is the GCF number.
So the greatest common factor 384,217,191 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 710/384, 220/217, 274/191

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 710/384, 220/217, 274/191?

Answer: LCM of Numerators as per given numbers 710/384, 220/217, 274/191 is

LCM of Numerators i.e. for 710,220,274 is 2139940

GCF of denominators i.e. for 384,217,191 is 1.

Thus, LCM of Fractions is 2139940.Finally, LCM of Fractions for 710/384, 220/217, 274/191 is 2139940.