Least Common Multiple of 78/641, 67/360, 229/188

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/641, 67/360, 229/188 quickly i.e. 1196754 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/641, 67/360, 229/188 is 1196754.

LCM(78/641, 67/360, 229/188) = 1196754

LCM of 78/641, 67/360, 229/188

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 78/641,67/360,229/188

Given numbers are 78/641,67/360,229/188

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 78,67,229

Least Common Multiple of Numerators i.e. LCM of 78,67,229 is 1196754.

GCF of Denominators means GCF of 641,360,188 as per the given fractions.

GCF of 641,360,188 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,67,229

LCM of Fractions 78/641,67/360,229/188 is 1196754

Given numbers has no common factors except 1. So, there LCM is their product i.e 1196754

Least Common Multiple of 78,67,229 with GCF Formula

Least Common Multiple of 78,67,229 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 78,67,229 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,67,229) = 1

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

GCF(78,67,229) x common factors =1 x 1 = 1

LCM(78,67,229) = ( 78 × 67 × 229 ) / 1

LCM(78,67,229) = 1196754 / 1

LCM(78,67,229) = 1196754


Lets's calculate GCF of 641,360,188

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1196754/1

Therefore the LCM of Fractions 78/641,67/360,229/188 is 1196754

Greatest Common Factor of 641,360,188 By Matching Biggest Common Factor Method

Greatest Common Factor of 641,360,188 By Matching Biggest Common Factor Method

Factors of 641

List of positive integer factors of 641 that divides 641 without a remainder.

1,641

Factors of 360

List of positive integer factors of 360 that divides 360 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360

Factors of 188

List of positive integer factors of 188 that divides 188 without a remainder.

1,2,4,47,94,188

Greatest Common Factor

We found the factors 641,360,188 . The biggest common factor number is the GCF number.
So the greatest common factor 641,360,188 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 78/641, 67/360, 229/188

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 78/641, 67/360, 229/188?

Answer: LCM of Numerators as per given numbers 78/641, 67/360, 229/188 is

LCM of Numerators i.e. for 78,67,229 is 1196754

GCF of denominators i.e. for 641,360,188 is 1.

Thus, LCM of Fractions is 1196754.Finally, LCM of Fractions for 78/641, 67/360, 229/188 is 1196754.