Least Common Multiple of 27/241, 914/765, 859/432

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 27/241, 914/765, 859/432 quickly i.e. 21198402 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 27/241, 914/765, 859/432 is 21198402.

LCM(27/241, 914/765, 859/432) = 21198402

LCM of 27/241, 914/765, 859/432

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 27/241,914/765,859/432

Given numbers are 27/241,914/765,859/432

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 27,914,859

Least Common Multiple of Numerators i.e. LCM of 27,914,859 is 21198402.

GCF of Denominators means GCF of 241,765,432 as per the given fractions.

GCF of 241,765,432 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 27,914,859

LCM of Fractions 27/241,914/765,859/432 is 21198402

Given numbers has no common factors except 1. So, there LCM is their product i.e 21198402

Least Common Multiple of 27,914,859 with GCF Formula

Least Common Multiple of 27,914,859 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 27,914,859 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,914,859) = 1

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

GCF(27,914,859) x common factors =1 x 1 = 1

LCM(27,914,859) = ( 27 × 914 × 859 ) / 1

LCM(27,914,859) = 21198402 / 1

LCM(27,914,859) = 21198402


Lets's calculate GCF of 241,765,432

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21198402/1

Therefore the LCM of Fractions 27/241,914/765,859/432 is 21198402

Greatest Common Factor of 241,765,432 By Matching Biggest Common Factor Method

Greatest Common Factor of 241,765,432 By Matching Biggest Common Factor Method

Factors of 241

List of positive integer factors of 241 that divides 241 without a remainder.

1,241

Factors of 765

List of positive integer factors of 765 that divides 765 without a remainder.

1,3,5,9,15,17,45,51,85,153,255,765

Factors of 432

List of positive integer factors of 432 that divides 432 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,108,144,216,432

Greatest Common Factor

We found the factors 241,765,432 . The biggest common factor number is the GCF number.
So the greatest common factor 241,765,432 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 27/241, 914/765, 859/432

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 27/241, 914/765, 859/432?

Answer: LCM of Numerators as per given numbers 27/241, 914/765, 859/432 is

LCM of Numerators i.e. for 27,914,859 is 21198402

GCF of denominators i.e. for 241,765,432 is 1.

Thus, LCM of Fractions is 21198402.Finally, LCM of Fractions for 27/241, 914/765, 859/432 is 21198402.