Least Common Multiple of 428/59, 8133/319

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 428/59, 8133/319 quickly i.e. 3480924 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 428/59, 8133/319 is 3480924.

LCM(428/59, 8133/319) = 3480924

LCM of 428/59, 8133/319

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 428/59,8133/319

Given numbers are 428/59,8133/319

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 428,8133

Least Common Multiple of Numerators i.e. LCM of 428,8133 is 3480924.

GCF of Denominators means GCF of 59,319 as per the given fractions.

GCF of 59,319 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 428,8133

LCM of Fractions 428/59,8133/319 is 3480924

Given numbers has no common factors except 1. So, there LCM is their product i.e 3480924

Least Common Multiple of 428,8133 with GCF Formula

Least Common Multiple of 428,8133 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 428,8133 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(428,8133) = 1

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

GCF(428,8133) x common factors =1 x 1 = 1

LCM(428,8133) = ( 428 × 8133 ) / 1

LCM(428,8133) = 3480924 / 1

LCM(428,8133) = 3480924


Lets's calculate GCF of 59,319

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3480924/1

Therefore the LCM of Fractions 428/59,8133/319 is 3480924

Greatest Common Factor of 59,319 By Matching Biggest Common Factor Method

Greatest Common Factor of 59,319 By Matching Biggest Common Factor Method

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 319

List of positive integer factors of 319 that divides 319 without a remainder.

1,11,29,319

Greatest Common Factor

We found the factors 59,319 . The biggest common factor number is the GCF number.
So the greatest common factor 59,319 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 428/59, 8133/319

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 428/59, 8133/319?

Answer: LCM of Numerators as per given numbers 428/59, 8133/319 is

LCM of Numerators i.e. for 428,8133 is 3480924

GCF of denominators i.e. for 59,319 is 1.

Thus, LCM of Fractions is 3480924.Finally, LCM of Fractions for 428/59, 8133/319 is 3480924.