Least Common Multiple of 3124/291, 7478/4116

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3124/291, 7478/4116 quickly i.e. 11680636/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3124/291, 7478/4116 is 11680636/3.

LCM(3124/291, 7478/4116) = 11680636/3

LCM of 3124/291, 7478/4116

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 3124/291,7478/4116

Given numbers are 3124/291,7478/4116

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 3124,7478

Least Common Multiple of Numerators i.e. LCM of 3124,7478 is 11680636.

GCF of Denominators means GCF of 291,4116 as per the given fractions.

GCF of 291,4116 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3124,7478

LCM of Fractions 3124/291,7478/4116 is 11680636/3

2 3124, 7478
1562, 3739

∴ So the LCM of the given numbers is 2 x 1562 x 3739 = 11680636

Least Common Multiple of 3124,7478 with GCF Formula

Least Common Multiple of 3124,7478 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 3124,7478 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3124,7478) = 2

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

GCF(3124,7478) x common factors =2 x 1 = 2

LCM(3124,7478) = ( 3124 × 7478 ) / 2

LCM(3124,7478) = 23361272 / 2

LCM(3124,7478) = 11680636


Lets's calculate GCF of 291,4116

3 291, 4116
97, 1372

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11680636/3

Therefore the LCM of Fractions 3124/291,7478/4116 is 11680636/3

Greatest Common Factor of 291,4116 By Matching Biggest Common Factor Method

Greatest Common Factor of 291,4116 By Matching Biggest Common Factor Method

Factors of 291

List of positive integer factors of 291 that divides 291 without a remainder.

1,3,97,291

Factors of 4116

List of positive integer factors of 4116 that divides 4116 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,49,84,98,147,196,294,343,588,686,1029,1372,2058,4116

Greatest Common Factor

We found the factors 291,4116 . The biggest common factor number is the GCF number.
So the greatest common factor 291,4116 is 3.


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 3124/291, 7478/4116

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 3124/291, 7478/4116?

Answer: LCM of Numerators as per given numbers 3124/291, 7478/4116 is

LCM of Numerators i.e. for 3124,7478 is 11680636

GCF of denominators i.e. for 291,4116 is 3.

Thus, LCM of Fractions is 11680636/3.Finally, LCM of Fractions for 3124/291, 7478/4116 is 11680636/3.