Least Common Multiple of 4959/366, 4375/4113

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4959/366, 4375/4113 quickly i.e. 7231875 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4959/366, 4375/4113 is 7231875.

LCM(4959/366, 4375/4113) = 7231875

LCM of 4959/366, 4375/4113

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 4959/366,4375/4113

Given numbers are 4959/366,4375/4113

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 4959,4375

Least Common Multiple of Numerators i.e. LCM of 4959,4375 is 21695625.

GCF of Denominators means GCF of 366,4113 as per the given fractions.

GCF of 366,4113 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4959,4375

LCM of Fractions 4959/366,4375/4113 is 7231875

Given numbers has no common factors except 1. So, there LCM is their product i.e 21695625

Least Common Multiple of 4959,4375 with GCF Formula

Least Common Multiple of 4959,4375 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 4959,4375 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4959,4375) = 1

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

GCF(4959,4375) x common factors =1 x 1 = 1

LCM(4959,4375) = ( 4959 × 4375 ) / 1

LCM(4959,4375) = 21695625 / 1

LCM(4959,4375) = 21695625


Lets's calculate GCF of 366,4113

3 366, 4113
122, 1371

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21695625/3

Therefore the LCM of Fractions 4959/366,4375/4113 is 7231875

Greatest Common Factor of 366,4113 By Matching Biggest Common Factor Method

Greatest Common Factor of 366,4113 By Matching Biggest Common Factor Method

Factors of 366

List of positive integer factors of 366 that divides 366 without a remainder.

1,2,3,6,61,122,183,366

Factors of 4113

List of positive integer factors of 4113 that divides 4113 without a remainder.

1,3,9,457,1371,4113

Greatest Common Factor

We found the factors 366,4113 . The biggest common factor number is the GCF number.
So the greatest common factor 366,4113 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 4959/366, 4375/4113

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 4959/366, 4375/4113?

Answer: LCM of Numerators as per given numbers 4959/366, 4375/4113 is

LCM of Numerators i.e. for 4959,4375 is 21695625

GCF of denominators i.e. for 366,4113 is 3.

Thus, LCM of Fractions is 7231875.Finally, LCM of Fractions for 4959/366, 4375/4113 is 7231875.