Least Common Multiple of 12/817, 226/315, 313/679

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 12/817, 226/315, 313/679 quickly i.e. 424428 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 12/817, 226/315, 313/679 is 424428.

LCM(12/817, 226/315, 313/679) = 424428

LCM of 12/817, 226/315, 313/679

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 12/817,226/315,313/679

Given numbers are 12/817,226/315,313/679

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 12,226,313

Least Common Multiple of Numerators i.e. LCM of 12,226,313 is 424428.

GCF of Denominators means GCF of 817,315,679 as per the given fractions.

GCF of 817,315,679 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 12,226,313

LCM of Fractions 12/817,226/315,313/679 is 424428

2 12, 226, 313
6, 113, 313

∴ So the LCM of the given numbers is 2 x 6 x 113 x 313 = 424428

Least Common Multiple of 12,226,313 with GCF Formula

Least Common Multiple of 12,226,313 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 12,226,313 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,226,313) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(12,226,313) x common factors =1 x 2 = 2

LCM(12,226,313) = ( 12 × 226 × 313 ) / 2

LCM(12,226,313) = 848856 / 2

LCM(12,226,313) = 424428


Lets's calculate GCF of 817,315,679

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 424428/1

Therefore the LCM of Fractions 12/817,226/315,313/679 is 424428

Greatest Common Factor of 817,315,679 By Matching Biggest Common Factor Method

Greatest Common Factor of 817,315,679 By Matching Biggest Common Factor Method

Factors of 817

List of positive integer factors of 817 that divides 817 without a remainder.

1,19,43,817

Factors of 315

List of positive integer factors of 315 that divides 315 without a remainder.

1,3,5,7,9,15,21,35,45,63,105,315

Factors of 679

List of positive integer factors of 679 that divides 679 without a remainder.

1,7,97,679

Greatest Common Factor

We found the factors 817,315,679 . The biggest common factor number is the GCF number.
So the greatest common factor 817,315,679 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 12/817, 226/315, 313/679

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 12/817, 226/315, 313/679?

Answer: LCM of Numerators as per given numbers 12/817, 226/315, 313/679 is

LCM of Numerators i.e. for 12,226,313 is 424428

GCF of denominators i.e. for 817,315,679 is 1.

Thus, LCM of Fractions is 424428.Finally, LCM of Fractions for 12/817, 226/315, 313/679 is 424428.