Least Common Multiple of 3116/408, 4959/4037

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3116/408, 4959/4037 quickly i.e. 813276 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3116/408, 4959/4037 is 813276.

LCM(3116/408, 4959/4037) = 813276

LCM of 3116/408, 4959/4037

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 3116/408,4959/4037

Given numbers are 3116/408,4959/4037

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 3116,4959

Least Common Multiple of Numerators i.e. LCM of 3116,4959 is 813276.

GCF of Denominators means GCF of 408,4037 as per the given fractions.

GCF of 408,4037 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3116,4959

LCM of Fractions 3116/408,4959/4037 is 813276

19 3116, 4959
164, 261

∴ So the LCM of the given numbers is 19 x 164 x 261 = 813276

Least Common Multiple of 3116,4959 with GCF Formula

Least Common Multiple of 3116,4959 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 3116,4959 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3116,4959) = 19

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

GCF(3116,4959) x common factors =19 x 1 = 19

LCM(3116,4959) = ( 3116 × 4959 ) / 19

LCM(3116,4959) = 15452244 / 19

LCM(3116,4959) = 813276


Lets's calculate GCF of 408,4037

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 813276/1

Therefore the LCM of Fractions 3116/408,4959/4037 is 813276

Greatest Common Factor of 408,4037 By Matching Biggest Common Factor Method

Greatest Common Factor of 408,4037 By Matching Biggest Common Factor Method

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

Factors of 4037

List of positive integer factors of 4037 that divides 4037 without a remainder.

1,11,367,4037

Greatest Common Factor

We found the factors 408,4037 . The biggest common factor number is the GCF number.
So the greatest common factor 408,4037 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 3116/408, 4959/4037

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 3116/408, 4959/4037?

Answer: LCM of Numerators as per given numbers 3116/408, 4959/4037 is

LCM of Numerators i.e. for 3116,4959 is 813276

GCF of denominators i.e. for 408,4037 is 1.

Thus, LCM of Fractions is 813276.Finally, LCM of Fractions for 3116/408, 4959/4037 is 813276.