Least Common Multiple of 92/216, 13/818, 441/512

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 92/216, 13/818, 441/512 quickly i.e. 263718 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 92/216, 13/818, 441/512 is 263718.

LCM(92/216, 13/818, 441/512) = 263718

LCM of 92/216, 13/818, 441/512

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 92/216,13/818,441/512

Given numbers are 92/216,13/818,441/512

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 92,13,441

Least Common Multiple of Numerators i.e. LCM of 92,13,441 is 527436.

GCF of Denominators means GCF of 216,818,512 as per the given fractions.

GCF of 216,818,512 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 92,13,441

LCM of Fractions 92/216,13/818,441/512 is 263718

Given numbers has no common factors except 1. So, there LCM is their product i.e 527436

Least Common Multiple of 92,13,441 with GCF Formula

Least Common Multiple of 92,13,441 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 92,13,441 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,13,441) = 1

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

GCF(92,13,441) x common factors =1 x 1 = 1

LCM(92,13,441) = ( 92 × 13 × 441 ) / 1

LCM(92,13,441) = 527436 / 1

LCM(92,13,441) = 527436


Lets's calculate GCF of 216,818,512

2 216, 818, 512
108, 409, 256

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 527436/2

Therefore the LCM of Fractions 92/216,13/818,441/512 is 263718

Greatest Common Factor of 216,818,512 By Matching Biggest Common Factor Method

Greatest Common Factor of 216,818,512 By Matching Biggest Common Factor Method

Factors of 216

List of positive integer factors of 216 that divides 216 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216

Factors of 818

List of positive integer factors of 818 that divides 818 without a remainder.

1,2,409,818

Factors of 512

List of positive integer factors of 512 that divides 512 without a remainder.

1,2,4,8,16,32,64,128,256,512

Greatest Common Factor

We found the factors 216,818,512 . The biggest common factor number is the GCF number.
So the greatest common factor 216,818,512 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 92/216, 13/818, 441/512

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 92/216, 13/818, 441/512?

Answer: LCM of Numerators as per given numbers 92/216, 13/818, 441/512 is

LCM of Numerators i.e. for 92,13,441 is 527436

GCF of denominators i.e. for 216,818,512 is 2.

Thus, LCM of Fractions is 263718.Finally, LCM of Fractions for 92/216, 13/818, 441/512 is 263718.