Least Common Multiple of 4871/429, 9192/4706

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4871/429, 9192/4706 quickly i.e. 44774232/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4871/429, 9192/4706 is 44774232/13.

LCM(4871/429, 9192/4706) = 44774232/13

LCM of 4871/429, 9192/4706

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 4871/429,9192/4706

Given numbers are 4871/429,9192/4706

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 4871,9192

Least Common Multiple of Numerators i.e. LCM of 4871,9192 is 44774232.

GCF of Denominators means GCF of 429,4706 as per the given fractions.

GCF of 429,4706 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4871,9192

LCM of Fractions 4871/429,9192/4706 is 44774232/13

Given numbers has no common factors except 1. So, there LCM is their product i.e 44774232

Least Common Multiple of 4871,9192 with GCF Formula

Least Common Multiple of 4871,9192 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 4871,9192 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4871,9192) = 1

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

GCF(4871,9192) x common factors =1 x 1 = 1

LCM(4871,9192) = ( 4871 × 9192 ) / 1

LCM(4871,9192) = 44774232 / 1

LCM(4871,9192) = 44774232


Lets's calculate GCF of 429,4706

13 429, 4706
33, 362

∴ So the GCF of the given numbers is 13 = 13

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 44774232/13

Therefore the LCM of Fractions 4871/429,9192/4706 is 44774232/13

Greatest Common Factor of 429,4706 By Matching Biggest Common Factor Method

Greatest Common Factor of 429,4706 By Matching Biggest Common Factor Method

Factors of 429

List of positive integer factors of 429 that divides 429 without a remainder.

1,3,11,13,33,39,143,429

Factors of 4706

List of positive integer factors of 4706 that divides 4706 without a remainder.

1,2,13,26,181,362,2353,4706

Greatest Common Factor

We found the factors 429,4706 . The biggest common factor number is the GCF number.
So the greatest common factor 429,4706 is 13.


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 4871/429, 9192/4706

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 4871/429, 9192/4706?

Answer: LCM of Numerators as per given numbers 4871/429, 9192/4706 is

LCM of Numerators i.e. for 4871,9192 is 44774232

GCF of denominators i.e. for 429,4706 is 13.

Thus, LCM of Fractions is 44774232/13.Finally, LCM of Fractions for 4871/429, 9192/4706 is 44774232/13.