Least Common Multiple of 864/19, 587/58, 576/522

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 864/19, 587/58, 576/522 quickly i.e. 1014336 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 864/19, 587/58, 576/522 is 1014336.

LCM(864/19, 587/58, 576/522) = 1014336

LCM of 864/19, 587/58, 576/522

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 864/19,587/58,576/522

Given numbers are 864/19,587/58,576/522

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 864,587,576

Least Common Multiple of Numerators i.e. LCM of 864,587,576 is 1014336.

GCF of Denominators means GCF of 19,58,522 as per the given fractions.

GCF of 19,58,522 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 864,587,576

LCM of Fractions 864/19,587/58,576/522 is 1014336

2 864, 587, 576
2 432, 587, 288
2 216, 587, 144
2 108, 587, 72
2 54, 587, 36
3 27, 587, 18
3 9, 587, 6
3, 587, 2

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 587 x 2 = 1014336

Least Common Multiple of 864,587,576 with GCF Formula

Least Common Multiple of 864,587,576 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 864,587,576 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(864,587,576) = 1

common factors(in case of two or more numbers have common factors) = 288

GCF(864,587,576) x common factors =1 x 288 = 288

LCM(864,587,576) = ( 864 × 587 × 576 ) / 288

LCM(864,587,576) = 292128768 / 288

LCM(864,587,576) = 1014336


Lets's calculate GCF of 19,58,522

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1014336/1

Therefore the LCM of Fractions 864/19,587/58,576/522 is 1014336

Greatest Common Factor of 19,58,522 By Matching Biggest Common Factor Method

Greatest Common Factor of 19,58,522 By Matching Biggest Common Factor Method

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 522

List of positive integer factors of 522 that divides 522 without a remainder.

1,2,3,6,9,18,29,58,87,174,261,522

Greatest Common Factor

We found the factors 19,58,522 . The biggest common factor number is the GCF number.
So the greatest common factor 19,58,522 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 864/19, 587/58, 576/522

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 864/19, 587/58, 576/522?

Answer: LCM of Numerators as per given numbers 864/19, 587/58, 576/522 is

LCM of Numerators i.e. for 864,587,576 is 1014336

GCF of denominators i.e. for 19,58,522 is 1.

Thus, LCM of Fractions is 1014336.Finally, LCM of Fractions for 864/19, 587/58, 576/522 is 1014336.