Least Common Multiple of 864/600, 855/337, 500/427

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 864/600, 855/337, 500/427 quickly i.e. 2052000 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 864/600, 855/337, 500/427 is 2052000.

LCM(864/600, 855/337, 500/427) = 2052000

LCM of 864/600, 855/337, 500/427

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 864/600,855/337,500/427

Given numbers are 864/600,855/337,500/427

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 864,855,500

Least Common Multiple of Numerators i.e. LCM of 864,855,500 is 2052000.

GCF of Denominators means GCF of 600,337,427 as per the given fractions.

GCF of 600,337,427 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 864,855,500

LCM of Fractions 864/600,855/337,500/427 is 2052000

2 864, 855, 500
2 432, 855, 250
3 216, 855, 125
3 72, 285, 125
5 24, 95, 125
24, 19, 25

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 5 x 24 x 19 x 25 = 2052000

Least Common Multiple of 864,855,500 with GCF Formula

Least Common Multiple of 864,855,500 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 864,855,500 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(864,855,500) = 1

common factors(in case of two or more numbers have common factors) = 180

GCF(864,855,500) x common factors =1 x 180 = 180

LCM(864,855,500) = ( 864 × 855 × 500 ) / 180

LCM(864,855,500) = 369360000 / 180

LCM(864,855,500) = 2052000


Lets's calculate GCF of 600,337,427

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2052000/1

Therefore the LCM of Fractions 864/600,855/337,500/427 is 2052000

Greatest Common Factor of 600,337,427 By Matching Biggest Common Factor Method

Greatest Common Factor of 600,337,427 By Matching Biggest Common Factor Method

Factors of 600

List of positive integer factors of 600 that divides 600 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,25,30,40,50,60,75,100,120,150,200,300,600

Factors of 337

List of positive integer factors of 337 that divides 337 without a remainder.

1,337

Factors of 427

List of positive integer factors of 427 that divides 427 without a remainder.

1,7,61,427

Greatest Common Factor

We found the factors 600,337,427 . The biggest common factor number is the GCF number.
So the greatest common factor 600,337,427 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 864/600, 855/337, 500/427

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 864/600, 855/337, 500/427?

Answer: LCM of Numerators as per given numbers 864/600, 855/337, 500/427 is

LCM of Numerators i.e. for 864,855,500 is 2052000

GCF of denominators i.e. for 600,337,427 is 1.

Thus, LCM of Fractions is 2052000.Finally, LCM of Fractions for 864/600, 855/337, 500/427 is 2052000.