Least Common Multiple of 99/30, 21/14, 328/867

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 99/30, 21/14, 328/867 quickly i.e. 227304 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 99/30, 21/14, 328/867 is 227304.

LCM(99/30, 21/14, 328/867) = 227304

LCM of 99/30, 21/14, 328/867

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 99/30,21/14,328/867

Given numbers are 99/30,21/14,328/867

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 99,21,328

Least Common Multiple of Numerators i.e. LCM of 99,21,328 is 227304.

GCF of Denominators means GCF of 30,14,867 as per the given fractions.

GCF of 30,14,867 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 99,21,328

LCM of Fractions 99/30,21/14,328/867 is 227304

3 99, 21, 328
33, 7, 328

∴ So the LCM of the given numbers is 3 x 33 x 7 x 328 = 227304

Least Common Multiple of 99,21,328 with GCF Formula

Least Common Multiple of 99,21,328 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 99,21,328 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,21,328) = 1

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

GCF(99,21,328) x common factors =1 x 3 = 3

LCM(99,21,328) = ( 99 × 21 × 328 ) / 3

LCM(99,21,328) = 681912 / 3

LCM(99,21,328) = 227304


Lets's calculate GCF of 30,14,867

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 227304/1

Therefore the LCM of Fractions 99/30,21/14,328/867 is 227304

Greatest Common Factor of 30,14,867 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,14,867 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 867

List of positive integer factors of 867 that divides 867 without a remainder.

1,3,17,51,289,867

Greatest Common Factor

We found the factors 30,14,867 . The biggest common factor number is the GCF number.
So the greatest common factor 30,14,867 is 1.


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 99/30, 21/14, 328/867

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 99/30, 21/14, 328/867?

Answer: LCM of Numerators as per given numbers 99/30, 21/14, 328/867 is

LCM of Numerators i.e. for 99,21,328 is 227304

GCF of denominators i.e. for 30,14,867 is 1.

Thus, LCM of Fractions is 227304.Finally, LCM of Fractions for 99/30, 21/14, 328/867 is 227304.