Least Common Multiple of 321/93, 963/13, 305/866

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 321/93, 963/13, 305/866 quickly i.e. 293715 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 321/93, 963/13, 305/866 is 293715.

LCM(321/93, 963/13, 305/866) = 293715

LCM of 321/93, 963/13, 305/866

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 321/93,963/13,305/866

Given numbers are 321/93,963/13,305/866

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 321,963,305

Least Common Multiple of Numerators i.e. LCM of 321,963,305 is 293715.

GCF of Denominators means GCF of 93,13,866 as per the given fractions.

GCF of 93,13,866 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 321,963,305

LCM of Fractions 321/93,963/13,305/866 is 293715

3 321, 963, 305
107 107, 321, 305
1, 3, 305

∴ So the LCM of the given numbers is 3 x 107 x 1 x 3 x 305 = 293715

Least Common Multiple of 321,963,305 with GCF Formula

Least Common Multiple of 321,963,305 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 321,963,305 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(321,963,305) = 1

common factors(in case of two or more numbers have common factors) = 321

GCF(321,963,305) x common factors =1 x 321 = 321

LCM(321,963,305) = ( 321 × 963 × 305 ) / 321

LCM(321,963,305) = 94282515 / 321

LCM(321,963,305) = 293715


Lets's calculate GCF of 93,13,866

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 293715/1

Therefore the LCM of Fractions 321/93,963/13,305/866 is 293715

Greatest Common Factor of 93,13,866 By Matching Biggest Common Factor Method

Greatest Common Factor of 93,13,866 By Matching Biggest Common Factor Method

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 866

List of positive integer factors of 866 that divides 866 without a remainder.

1,2,433,866

Greatest Common Factor

We found the factors 93,13,866 . The biggest common factor number is the GCF number.
So the greatest common factor 93,13,866 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 321/93, 963/13, 305/866

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 321/93, 963/13, 305/866?

Answer: LCM of Numerators as per given numbers 321/93, 963/13, 305/866 is

LCM of Numerators i.e. for 321,963,305 is 293715

GCF of denominators i.e. for 93,13,866 is 1.

Thus, LCM of Fractions is 293715.Finally, LCM of Fractions for 321/93, 963/13, 305/866 is 293715.