Least Common Multiple of 387/11, 529/20, 368/844

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 387/11, 529/20, 368/844 quickly i.e. 3275568 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 387/11, 529/20, 368/844 is 3275568.

LCM(387/11, 529/20, 368/844) = 3275568

LCM of 387/11, 529/20, 368/844

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 387/11,529/20,368/844

Given numbers are 387/11,529/20,368/844

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 387,529,368

Least Common Multiple of Numerators i.e. LCM of 387,529,368 is 3275568.

GCF of Denominators means GCF of 11,20,844 as per the given fractions.

GCF of 11,20,844 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 387,529,368

LCM of Fractions 387/11,529/20,368/844 is 3275568

23 387, 529, 368
387, 23, 16

∴ So the LCM of the given numbers is 23 x 387 x 23 x 16 = 3275568

Least Common Multiple of 387,529,368 with GCF Formula

Least Common Multiple of 387,529,368 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 387,529,368 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(387,529,368) = 1

common factors(in case of two or more numbers have common factors) = 23

GCF(387,529,368) x common factors =1 x 23 = 23

LCM(387,529,368) = ( 387 × 529 × 368 ) / 23

LCM(387,529,368) = 75338064 / 23

LCM(387,529,368) = 3275568


Lets's calculate GCF of 11,20,844

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3275568/1

Therefore the LCM of Fractions 387/11,529/20,368/844 is 3275568

Greatest Common Factor of 11,20,844 By Matching Biggest Common Factor Method

Greatest Common Factor of 11,20,844 By Matching Biggest Common Factor Method

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 20

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

1,2,4,5,10,20

Factors of 844

List of positive integer factors of 844 that divides 844 without a remainder.

1,2,4,211,422,844

Greatest Common Factor

We found the factors 11,20,844 . The biggest common factor number is the GCF number.
So the greatest common factor 11,20,844 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 387/11, 529/20, 368/844

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 387/11, 529/20, 368/844?

Answer: LCM of Numerators as per given numbers 387/11, 529/20, 368/844 is

LCM of Numerators i.e. for 387,529,368 is 3275568

GCF of denominators i.e. for 11,20,844 is 1.

Thus, LCM of Fractions is 3275568.Finally, LCM of Fractions for 387/11, 529/20, 368/844 is 3275568.