Least Common Multiple of 69/20, 37/96, 387/321

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/20, 37/96, 387/321 quickly i.e. 329337 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/20, 37/96, 387/321 is 329337.

LCM(69/20, 37/96, 387/321) = 329337

LCM of 69/20, 37/96, 387/321

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 69/20,37/96,387/321

Given numbers are 69/20,37/96,387/321

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 69,37,387

Least Common Multiple of Numerators i.e. LCM of 69,37,387 is 329337.

GCF of Denominators means GCF of 20,96,321 as per the given fractions.

GCF of 20,96,321 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,37,387

LCM of Fractions 69/20,37/96,387/321 is 329337

3 69, 37, 387
23, 37, 129

∴ So the LCM of the given numbers is 3 x 23 x 37 x 129 = 329337

Least Common Multiple of 69,37,387 with GCF Formula

Least Common Multiple of 69,37,387 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 69,37,387 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,37,387) = 1

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

GCF(69,37,387) x common factors =1 x 3 = 3

LCM(69,37,387) = ( 69 × 37 × 387 ) / 3

LCM(69,37,387) = 988011 / 3

LCM(69,37,387) = 329337


Lets's calculate GCF of 20,96,321

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 329337/1

Therefore the LCM of Fractions 69/20,37/96,387/321 is 329337

Greatest Common Factor of 20,96,321 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,96,321 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 321

List of positive integer factors of 321 that divides 321 without a remainder.

1,3,107,321

Greatest Common Factor

We found the factors 20,96,321 . The biggest common factor number is the GCF number.
So the greatest common factor 20,96,321 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 69/20, 37/96, 387/321

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 69/20, 37/96, 387/321?

Answer: LCM of Numerators as per given numbers 69/20, 37/96, 387/321 is

LCM of Numerators i.e. for 69,37,387 is 329337

GCF of denominators i.e. for 20,96,321 is 1.

Thus, LCM of Fractions is 329337.Finally, LCM of Fractions for 69/20, 37/96, 387/321 is 329337.