Least Common Multiple of 387/75, 540/75, 801/596

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 387/75, 540/75, 801/596 quickly i.e. 2066580 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 387/75, 540/75, 801/596 is 2066580.

LCM(387/75, 540/75, 801/596) = 2066580

LCM of 387/75, 540/75, 801/596

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 387/75,540/75,801/596

Given numbers are 387/75,540/75,801/596

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 387,540,801

Least Common Multiple of Numerators i.e. LCM of 387,540,801 is 2066580.

GCF of Denominators means GCF of 75,75,596 as per the given fractions.

GCF of 75,75,596 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 387,540,801

LCM of Fractions 387/75,540/75,801/596 is 2066580

3 387, 540, 801
3 129, 180, 267
43, 60, 89

∴ So the LCM of the given numbers is 3 x 3 x 43 x 60 x 89 = 2066580

Least Common Multiple of 387,540,801 with GCF Formula

Least Common Multiple of 387,540,801 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 387,540,801 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(387,540,801) = 9

common factors(in case of two or more numbers have common factors) = 9

GCF(387,540,801) x common factors =9 x 9 = 81

LCM(387,540,801) = ( 387 × 540 × 801 ) / 81

LCM(387,540,801) = 167392980 / 81

LCM(387,540,801) = 2066580


Lets's calculate GCF of 75,75,596

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2066580/1

Therefore the LCM of Fractions 387/75,540/75,801/596 is 2066580

Greatest Common Factor of 75,75,596 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,75,596 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 596

List of positive integer factors of 596 that divides 596 without a remainder.

1,2,4,149,298,596

Greatest Common Factor

We found the factors 75,75,596 . The biggest common factor number is the GCF number.
So the greatest common factor 75,75,596 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 387/75, 540/75, 801/596

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 387/75, 540/75, 801/596?

Answer: LCM of Numerators as per given numbers 387/75, 540/75, 801/596 is

LCM of Numerators i.e. for 387,540,801 is 2066580

GCF of denominators i.e. for 75,75,596 is 1.

Thus, LCM of Fractions is 2066580.Finally, LCM of Fractions for 387/75, 540/75, 801/596 is 2066580.