Least Common Multiple of 23/42, 31/865, 577/331

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 23/42, 31/865, 577/331 quickly i.e. 411401 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/42, 31/865, 577/331 is 411401.

LCM(23/42, 31/865, 577/331) = 411401

LCM of 23/42, 31/865, 577/331

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 23/42,31/865,577/331

Given numbers are 23/42,31/865,577/331

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 23,31,577

Least Common Multiple of Numerators i.e. LCM of 23,31,577 is 411401.

GCF of Denominators means GCF of 42,865,331 as per the given fractions.

GCF of 42,865,331 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,31,577

LCM of Fractions 23/42,31/865,577/331 is 411401

Given numbers has no common factors except 1. So, there LCM is their product i.e 411401

Least Common Multiple of 23,31,577 with GCF Formula

Least Common Multiple of 23,31,577 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 23,31,577 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,31,577) = 1

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

GCF(23,31,577) x common factors =1 x 1 = 1

LCM(23,31,577) = ( 23 × 31 × 577 ) / 1

LCM(23,31,577) = 411401 / 1

LCM(23,31,577) = 411401


Lets's calculate GCF of 42,865,331

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 411401/1

Therefore the LCM of Fractions 23/42,31/865,577/331 is 411401

Greatest Common Factor of 42,865,331 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,865,331 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 865

List of positive integer factors of 865 that divides 865 without a remainder.

1,5,173,865

Factors of 331

List of positive integer factors of 331 that divides 331 without a remainder.

1,331

Greatest Common Factor

We found the factors 42,865,331 . The biggest common factor number is the GCF number.
So the greatest common factor 42,865,331 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 23/42, 31/865, 577/331

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 23/42, 31/865, 577/331?

Answer: LCM of Numerators as per given numbers 23/42, 31/865, 577/331 is

LCM of Numerators i.e. for 23,31,577 is 411401

GCF of denominators i.e. for 42,865,331 is 1.

Thus, LCM of Fractions is 411401.Finally, LCM of Fractions for 23/42, 31/865, 577/331 is 411401.