Least Common Multiple of 387/86, 300/52, 260/811

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 387/86, 300/52, 260/811 quickly i.e. 503100 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 387/86, 300/52, 260/811 is 503100.

LCM(387/86, 300/52, 260/811) = 503100

LCM of 387/86, 300/52, 260/811

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 387/86,300/52,260/811

Given numbers are 387/86,300/52,260/811

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 387,300,260

Least Common Multiple of Numerators i.e. LCM of 387,300,260 is 503100.

GCF of Denominators means GCF of 86,52,811 as per the given fractions.

GCF of 86,52,811 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 387,300,260

LCM of Fractions 387/86,300/52,260/811 is 503100

2 387, 300, 260
2 387, 150, 130
3 387, 75, 65
5 129, 25, 65
129, 5, 13

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 129 x 5 x 13 = 503100

Least Common Multiple of 387,300,260 with GCF Formula

Least Common Multiple of 387,300,260 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 387,300,260 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(387,300,260) = 1

common factors(in case of two or more numbers have common factors) = 60

GCF(387,300,260) x common factors =1 x 60 = 60

LCM(387,300,260) = ( 387 × 300 × 260 ) / 60

LCM(387,300,260) = 30186000 / 60

LCM(387,300,260) = 503100


Lets's calculate GCF of 86,52,811

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 503100/1

Therefore the LCM of Fractions 387/86,300/52,260/811 is 503100

Greatest Common Factor of 86,52,811 By Matching Biggest Common Factor Method

Greatest Common Factor of 86,52,811 By Matching Biggest Common Factor Method

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 811

List of positive integer factors of 811 that divides 811 without a remainder.

1,811

Greatest Common Factor

We found the factors 86,52,811 . The biggest common factor number is the GCF number.
So the greatest common factor 86,52,811 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 387/86, 300/52, 260/811

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 387/86, 300/52, 260/811?

Answer: LCM of Numerators as per given numbers 387/86, 300/52, 260/811 is

LCM of Numerators i.e. for 387,300,260 is 503100

GCF of denominators i.e. for 86,52,811 is 1.

Thus, LCM of Fractions is 503100.Finally, LCM of Fractions for 387/86, 300/52, 260/811 is 503100.