Least Common Multiple of 313/106, 459/538, 422/864

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 313/106, 459/538, 422/864 quickly i.e. 30313737 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 313/106, 459/538, 422/864 is 30313737.

LCM(313/106, 459/538, 422/864) = 30313737

LCM of 313/106, 459/538, 422/864

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 313/106,459/538,422/864

Given numbers are 313/106,459/538,422/864

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 313,459,422

Least Common Multiple of Numerators i.e. LCM of 313,459,422 is 60627474.

GCF of Denominators means GCF of 106,538,864 as per the given fractions.

GCF of 106,538,864 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 313,459,422

LCM of Fractions 313/106,459/538,422/864 is 30313737

Given numbers has no common factors except 1. So, there LCM is their product i.e 60627474

Least Common Multiple of 313,459,422 with GCF Formula

Least Common Multiple of 313,459,422 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 313,459,422 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(313,459,422) = 1

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

GCF(313,459,422) x common factors =1 x 1 = 1

LCM(313,459,422) = ( 313 × 459 × 422 ) / 1

LCM(313,459,422) = 60627474 / 1

LCM(313,459,422) = 60627474


Lets's calculate GCF of 106,538,864

2 106, 538, 864
53, 269, 432

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 60627474/2

Therefore the LCM of Fractions 313/106,459/538,422/864 is 30313737

Greatest Common Factor of 106,538,864 By Matching Biggest Common Factor Method

Greatest Common Factor of 106,538,864 By Matching Biggest Common Factor Method

Factors of 106

List of positive integer factors of 106 that divides 106 without a remainder.

1,2,53,106

Factors of 538

List of positive integer factors of 538 that divides 538 without a remainder.

1,2,269,538

Factors of 864

List of positive integer factors of 864 that divides 864 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,72,96,108,144,216,288,432,864

Greatest Common Factor

We found the factors 106,538,864 . The biggest common factor number is the GCF number.
So the greatest common factor 106,538,864 is 2.


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 313/106, 459/538, 422/864

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 313/106, 459/538, 422/864?

Answer: LCM of Numerators as per given numbers 313/106, 459/538, 422/864 is

LCM of Numerators i.e. for 313,459,422 is 60627474

GCF of denominators i.e. for 106,538,864 is 2.

Thus, LCM of Fractions is 30313737.Finally, LCM of Fractions for 313/106, 459/538, 422/864 is 30313737.