Least Common Multiple of 13/331, 42/743, 671/742

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 13/331, 42/743, 671/742 quickly i.e. 366366 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 13/331, 42/743, 671/742 is 366366.

LCM(13/331, 42/743, 671/742) = 366366

LCM of 13/331, 42/743, 671/742

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 13/331,42/743,671/742

Given numbers are 13/331,42/743,671/742

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 13,42,671

Least Common Multiple of Numerators i.e. LCM of 13,42,671 is 366366.

GCF of Denominators means GCF of 331,743,742 as per the given fractions.

GCF of 331,743,742 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 13,42,671

LCM of Fractions 13/331,42/743,671/742 is 366366

Given numbers has no common factors except 1. So, there LCM is their product i.e 366366

Least Common Multiple of 13,42,671 with GCF Formula

Least Common Multiple of 13,42,671 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 13,42,671 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,42,671) = 1

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

GCF(13,42,671) x common factors =1 x 1 = 1

LCM(13,42,671) = ( 13 × 42 × 671 ) / 1

LCM(13,42,671) = 366366 / 1

LCM(13,42,671) = 366366


Lets's calculate GCF of 331,743,742

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 366366/1

Therefore the LCM of Fractions 13/331,42/743,671/742 is 366366

Greatest Common Factor of 331,743,742 By Matching Biggest Common Factor Method

Greatest Common Factor of 331,743,742 By Matching Biggest Common Factor Method

Factors of 331

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

1,331

Factors of 743

List of positive integer factors of 743 that divides 743 without a remainder.

1,743

Factors of 742

List of positive integer factors of 742 that divides 742 without a remainder.

1,2,7,14,53,106,371,742

Greatest Common Factor

We found the factors 331,743,742 . The biggest common factor number is the GCF number.
So the greatest common factor 331,743,742 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 13/331, 42/743, 671/742

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 13/331, 42/743, 671/742?

Answer: LCM of Numerators as per given numbers 13/331, 42/743, 671/742 is

LCM of Numerators i.e. for 13,42,671 is 366366

GCF of denominators i.e. for 331,743,742 is 1.

Thus, LCM of Fractions is 366366.Finally, LCM of Fractions for 13/331, 42/743, 671/742 is 366366.