Least Common Multiple of 27/384, 758/655, 125/698

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 27/384, 758/655, 125/698 quickly i.e. 2558250 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 27/384, 758/655, 125/698 is 2558250.

LCM(27/384, 758/655, 125/698) = 2558250

LCM of 27/384, 758/655, 125/698

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 27/384,758/655,125/698

Given numbers are 27/384,758/655,125/698

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 27,758,125

Least Common Multiple of Numerators i.e. LCM of 27,758,125 is 2558250.

GCF of Denominators means GCF of 384,655,698 as per the given fractions.

GCF of 384,655,698 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 27,758,125

LCM of Fractions 27/384,758/655,125/698 is 2558250

Given numbers has no common factors except 1. So, there LCM is their product i.e 2558250

Least Common Multiple of 27,758,125 with GCF Formula

Least Common Multiple of 27,758,125 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 27,758,125 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,758,125) = 1

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

GCF(27,758,125) x common factors =1 x 1 = 1

LCM(27,758,125) = ( 27 × 758 × 125 ) / 1

LCM(27,758,125) = 2558250 / 1

LCM(27,758,125) = 2558250


Lets's calculate GCF of 384,655,698

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2558250/1

Therefore the LCM of Fractions 27/384,758/655,125/698 is 2558250

Greatest Common Factor of 384,655,698 By Matching Biggest Common Factor Method

Greatest Common Factor of 384,655,698 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 655

List of positive integer factors of 655 that divides 655 without a remainder.

1,5,131,655

Factors of 698

List of positive integer factors of 698 that divides 698 without a remainder.

1,2,349,698

Greatest Common Factor

We found the factors 384,655,698 . The biggest common factor number is the GCF number.
So the greatest common factor 384,655,698 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 27/384, 758/655, 125/698

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 27/384, 758/655, 125/698?

Answer: LCM of Numerators as per given numbers 27/384, 758/655, 125/698 is

LCM of Numerators i.e. for 27,758,125 is 2558250

GCF of denominators i.e. for 384,655,698 is 1.

Thus, LCM of Fractions is 2558250.Finally, LCM of Fractions for 27/384, 758/655, 125/698 is 2558250.