Least Common Multiple of 813/18, 922/92, 481/64

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 813/18, 922/92, 481/64 quickly i.e. 180275433 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 813/18, 922/92, 481/64 is 180275433.

LCM(813/18, 922/92, 481/64) = 180275433

LCM of 813/18, 922/92, 481/64

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 813/18,922/92,481/64

Given numbers are 813/18,922/92,481/64

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 813,922,481

Least Common Multiple of Numerators i.e. LCM of 813,922,481 is 360550866.

GCF of Denominators means GCF of 18,92,64 as per the given fractions.

GCF of 18,92,64 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 813,922,481

LCM of Fractions 813/18,922/92,481/64 is 180275433

Given numbers has no common factors except 1. So, there LCM is their product i.e 360550866

Least Common Multiple of 813,922,481 with GCF Formula

Least Common Multiple of 813,922,481 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 813,922,481 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(813,922,481) = 1

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

GCF(813,922,481) x common factors =1 x 1 = 1

LCM(813,922,481) = ( 813 × 922 × 481 ) / 1

LCM(813,922,481) = 360550866 / 1

LCM(813,922,481) = 360550866


Lets's calculate GCF of 18,92,64

2 18, 92, 64
9, 46, 32

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 360550866/2

Therefore the LCM of Fractions 813/18,922/92,481/64 is 180275433

Greatest Common Factor of 18,92,64 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,92,64 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 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Greatest Common Factor

We found the factors 18,92,64 . The biggest common factor number is the GCF number.
So the greatest common factor 18,92,64 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 813/18, 922/92, 481/64

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 813/18, 922/92, 481/64?

Answer: LCM of Numerators as per given numbers 813/18, 922/92, 481/64 is

LCM of Numerators i.e. for 813,922,481 is 360550866

GCF of denominators i.e. for 18,92,64 is 2.

Thus, LCM of Fractions is 180275433.Finally, LCM of Fractions for 813/18, 922/92, 481/64 is 180275433.