Least Common Multiple of 326/18, 314/5804

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 326/18, 314/5804 quickly i.e. 25591 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 326/18, 314/5804 is 25591.

LCM(326/18, 314/5804) = 25591

LCM of 326/18, 314/5804

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 326/18,314/5804

Given numbers are 326/18,314/5804

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 326,314

Least Common Multiple of Numerators i.e. LCM of 326,314 is 51182.

GCF of Denominators means GCF of 18,5804 as per the given fractions.

GCF of 18,5804 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 326,314

LCM of Fractions 326/18,314/5804 is 25591

2 326, 314
163, 157

∴ So the LCM of the given numbers is 2 x 163 x 157 = 51182

Least Common Multiple of 326,314 with GCF Formula

Least Common Multiple of 326,314 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 326,314 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(326,314) = 2

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

GCF(326,314) x common factors =2 x 1 = 2

LCM(326,314) = ( 326 × 314 ) / 2

LCM(326,314) = 102364 / 2

LCM(326,314) = 51182


Lets's calculate GCF of 18,5804

2 18, 5804
9, 2902

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 51182/2

Therefore the LCM of Fractions 326/18,314/5804 is 25591

Greatest Common Factor of 18,5804 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,5804 By Matching Biggest Common Factor Method

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 5804

List of positive integer factors of 5804 that divides 5804 without a remainder.

1,2,4,1451,2902,5804

Greatest Common Factor

We found the factors 18,5804 . The biggest common factor number is the GCF number.
So the greatest common factor 18,5804 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 326/18, 314/5804

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 326/18, 314/5804?

Answer: LCM of Numerators as per given numbers 326/18, 314/5804 is

LCM of Numerators i.e. for 326,314 is 51182

GCF of denominators i.e. for 18,5804 is 2.

Thus, LCM of Fractions is 25591.Finally, LCM of Fractions for 326/18, 314/5804 is 25591.