Least Common Multiple of 864/66, 540/47, 519/286

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 864/66, 540/47, 519/286 quickly i.e. 747360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 864/66, 540/47, 519/286 is 747360.

LCM(864/66, 540/47, 519/286) = 747360

LCM of 864/66, 540/47, 519/286

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 864/66,540/47,519/286

Given numbers are 864/66,540/47,519/286

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 864,540,519

Least Common Multiple of Numerators i.e. LCM of 864,540,519 is 747360.

GCF of Denominators means GCF of 66,47,286 as per the given fractions.

GCF of 66,47,286 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 864,540,519

LCM of Fractions 864/66,540/47,519/286 is 747360

2 864, 540, 519
2 432, 270, 519
3 216, 135, 519
3 72, 45, 173
3 24, 15, 173
8, 5, 173

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 3 x 8 x 5 x 173 = 747360

Least Common Multiple of 864,540,519 with GCF Formula

Least Common Multiple of 864,540,519 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 864,540,519 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(864,540,519) = 3

common factors(in case of two or more numbers have common factors) = 108

GCF(864,540,519) x common factors =3 x 108 = 324

LCM(864,540,519) = ( 864 × 540 × 519 ) / 324

LCM(864,540,519) = 242144640 / 324

LCM(864,540,519) = 747360


Lets's calculate GCF of 66,47,286

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 747360/1

Therefore the LCM of Fractions 864/66,540/47,519/286 is 747360

Greatest Common Factor of 66,47,286 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,47,286 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 286

List of positive integer factors of 286 that divides 286 without a remainder.

1,2,11,13,22,26,143,286

Greatest Common Factor

We found the factors 66,47,286 . The biggest common factor number is the GCF number.
So the greatest common factor 66,47,286 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 864/66, 540/47, 519/286

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 864/66, 540/47, 519/286?

Answer: LCM of Numerators as per given numbers 864/66, 540/47, 519/286 is

LCM of Numerators i.e. for 864,540,519 is 747360

GCF of denominators i.e. for 66,47,286 is 1.

Thus, LCM of Fractions is 747360.Finally, LCM of Fractions for 864/66, 540/47, 519/286 is 747360.