Least Common Multiple of 813/578, 795/846, 116/346

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 813/578, 795/846, 116/346 quickly i.e. 12495810 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 813/578, 795/846, 116/346 is 12495810.

LCM(813/578, 795/846, 116/346) = 12495810

LCM of 813/578, 795/846, 116/346

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 813/578,795/846,116/346

Given numbers are 813/578,795/846,116/346

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 813,795,116

Least Common Multiple of Numerators i.e. LCM of 813,795,116 is 24991620.

GCF of Denominators means GCF of 578,846,346 as per the given fractions.

GCF of 578,846,346 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 813,795,116

LCM of Fractions 813/578,795/846,116/346 is 12495810

3 813, 795, 116
271, 265, 116

∴ So the LCM of the given numbers is 3 x 271 x 265 x 116 = 24991620

Least Common Multiple of 813,795,116 with GCF Formula

Least Common Multiple of 813,795,116 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 813,795,116 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(813,795,116) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(813,795,116) x common factors =1 x 3 = 3

LCM(813,795,116) = ( 813 × 795 × 116 ) / 3

LCM(813,795,116) = 74974860 / 3

LCM(813,795,116) = 24991620


Lets's calculate GCF of 578,846,346

2 578, 846, 346
289, 423, 173

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24991620/2

Therefore the LCM of Fractions 813/578,795/846,116/346 is 12495810

Greatest Common Factor of 578,846,346 By Matching Biggest Common Factor Method

Greatest Common Factor of 578,846,346 By Matching Biggest Common Factor Method

Factors of 578

List of positive integer factors of 578 that divides 578 without a remainder.

1,2,17,34,289,578

Factors of 846

List of positive integer factors of 846 that divides 846 without a remainder.

1,2,3,6,9,18,47,94,141,282,423,846

Factors of 346

List of positive integer factors of 346 that divides 346 without a remainder.

1,2,173,346

Greatest Common Factor

We found the factors 578,846,346 . The biggest common factor number is the GCF number.
So the greatest common factor 578,846,346 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 813/578, 795/846, 116/346

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 813/578, 795/846, 116/346?

Answer: LCM of Numerators as per given numbers 813/578, 795/846, 116/346 is

LCM of Numerators i.e. for 813,795,116 is 24991620

GCF of denominators i.e. for 578,846,346 is 2.

Thus, LCM of Fractions is 12495810.Finally, LCM of Fractions for 813/578, 795/846, 116/346 is 12495810.