Least Common Multiple of 81/314, 29/886, 368/264

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 81/314, 29/886, 368/264 quickly i.e. 432216 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 81/314, 29/886, 368/264 is 432216.

LCM(81/314, 29/886, 368/264) = 432216

LCM of 81/314, 29/886, 368/264

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 81/314,29/886,368/264

Given numbers are 81/314,29/886,368/264

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 81,29,368

Least Common Multiple of Numerators i.e. LCM of 81,29,368 is 864432.

GCF of Denominators means GCF of 314,886,264 as per the given fractions.

GCF of 314,886,264 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 81,29,368

LCM of Fractions 81/314,29/886,368/264 is 432216

Given numbers has no common factors except 1. So, there LCM is their product i.e 864432

Least Common Multiple of 81,29,368 with GCF Formula

Least Common Multiple of 81,29,368 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 81,29,368 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,29,368) = 1

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

GCF(81,29,368) x common factors =1 x 1 = 1

LCM(81,29,368) = ( 81 × 29 × 368 ) / 1

LCM(81,29,368) = 864432 / 1

LCM(81,29,368) = 864432


Lets's calculate GCF of 314,886,264

2 314, 886, 264
157, 443, 132

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 864432/2

Therefore the LCM of Fractions 81/314,29/886,368/264 is 432216

Greatest Common Factor of 314,886,264 By Matching Biggest Common Factor Method

Greatest Common Factor of 314,886,264 By Matching Biggest Common Factor Method

Factors of 314

List of positive integer factors of 314 that divides 314 without a remainder.

1,2,157,314

Factors of 886

List of positive integer factors of 886 that divides 886 without a remainder.

1,2,443,886

Factors of 264

List of positive integer factors of 264 that divides 264 without a remainder.

1,2,3,4,6,8,11,12,22,24,33,44,66,88,132,264

Greatest Common Factor

We found the factors 314,886,264 . The biggest common factor number is the GCF number.
So the greatest common factor 314,886,264 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 81/314, 29/886, 368/264

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 81/314, 29/886, 368/264?

Answer: LCM of Numerators as per given numbers 81/314, 29/886, 368/264 is

LCM of Numerators i.e. for 81,29,368 is 864432

GCF of denominators i.e. for 314,886,264 is 2.

Thus, LCM of Fractions is 432216.Finally, LCM of Fractions for 81/314, 29/886, 368/264 is 432216.