Least Common Multiple of 431/78, 299/4801

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 431/78, 299/4801 quickly i.e. 128869 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 431/78, 299/4801 is 128869.

LCM(431/78, 299/4801) = 128869

LCM of 431/78, 299/4801

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 431/78,299/4801

Given numbers are 431/78,299/4801

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 431,299

Least Common Multiple of Numerators i.e. LCM of 431,299 is 128869.

GCF of Denominators means GCF of 78,4801 as per the given fractions.

GCF of 78,4801 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 431,299

LCM of Fractions 431/78,299/4801 is 128869

Given numbers has no common factors except 1. So, there LCM is their product i.e 128869

Least Common Multiple of 431,299 with GCF Formula

Least Common Multiple of 431,299 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 431,299 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(431,299) = 1

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

GCF(431,299) x common factors =1 x 1 = 1

LCM(431,299) = ( 431 × 299 ) / 1

LCM(431,299) = 128869 / 1

LCM(431,299) = 128869


Lets's calculate GCF of 78,4801

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 128869/1

Therefore the LCM of Fractions 431/78,299/4801 is 128869

Greatest Common Factor of 78,4801 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,4801 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 4801

List of positive integer factors of 4801 that divides 4801 without a remainder.

1,4801

Greatest Common Factor

We found the factors 78,4801 . The biggest common factor number is the GCF number.
So the greatest common factor 78,4801 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 431/78, 299/4801

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 431/78, 299/4801?

Answer: LCM of Numerators as per given numbers 431/78, 299/4801 is

LCM of Numerators i.e. for 431,299 is 128869

GCF of denominators i.e. for 78,4801 is 1.

Thus, LCM of Fractions is 128869.Finally, LCM of Fractions for 431/78, 299/4801 is 128869.