Least Common Multiple of 31/319, 43/736, 378/408

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/319, 43/736, 378/408 quickly i.e. 503874 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/319, 43/736, 378/408 is 503874.

LCM(31/319, 43/736, 378/408) = 503874

LCM of 31/319, 43/736, 378/408

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 31/319,43/736,378/408

Given numbers are 31/319,43/736,378/408

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 31,43,378

Least Common Multiple of Numerators i.e. LCM of 31,43,378 is 503874.

GCF of Denominators means GCF of 319,736,408 as per the given fractions.

GCF of 319,736,408 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,43,378

LCM of Fractions 31/319,43/736,378/408 is 503874

Given numbers has no common factors except 1. So, there LCM is their product i.e 503874

Least Common Multiple of 31,43,378 with GCF Formula

Least Common Multiple of 31,43,378 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 31,43,378 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,43,378) = 1

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

GCF(31,43,378) x common factors =1 x 1 = 1

LCM(31,43,378) = ( 31 × 43 × 378 ) / 1

LCM(31,43,378) = 503874 / 1

LCM(31,43,378) = 503874


Lets's calculate GCF of 319,736,408

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 503874/1

Therefore the LCM of Fractions 31/319,43/736,378/408 is 503874

Greatest Common Factor of 319,736,408 By Matching Biggest Common Factor Method

Greatest Common Factor of 319,736,408 By Matching Biggest Common Factor Method

Factors of 319

List of positive integer factors of 319 that divides 319 without a remainder.

1,11,29,319

Factors of 736

List of positive integer factors of 736 that divides 736 without a remainder.

1,2,4,8,16,23,32,46,92,184,368,736

Factors of 408

List of positive integer factors of 408 that divides 408 without a remainder.

1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408

Greatest Common Factor

We found the factors 319,736,408 . The biggest common factor number is the GCF number.
So the greatest common factor 319,736,408 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 31/319, 43/736, 378/408

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 31/319, 43/736, 378/408?

Answer: LCM of Numerators as per given numbers 31/319, 43/736, 378/408 is

LCM of Numerators i.e. for 31,43,378 is 503874

GCF of denominators i.e. for 319,736,408 is 1.

Thus, LCM of Fractions is 503874.Finally, LCM of Fractions for 31/319, 43/736, 378/408 is 503874.