Least Common Multiple of 864/23, 198/72, 434/24

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 864/23, 198/72, 434/24 quickly i.e. 2062368 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 864/23, 198/72, 434/24 is 2062368.

LCM(864/23, 198/72, 434/24) = 2062368

LCM of 864/23, 198/72, 434/24

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 864/23,198/72,434/24

Given numbers are 864/23,198/72,434/24

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 864,198,434

Least Common Multiple of Numerators i.e. LCM of 864,198,434 is 2062368.

GCF of Denominators means GCF of 23,72,24 as per the given fractions.

GCF of 23,72,24 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 864,198,434

LCM of Fractions 864/23,198/72,434/24 is 2062368

2 864, 198, 434
3 432, 99, 217
3 144, 33, 217
48, 11, 217

∴ So the LCM of the given numbers is 2 x 3 x 3 x 48 x 11 x 217 = 2062368

Least Common Multiple of 864,198,434 with GCF Formula

Least Common Multiple of 864,198,434 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 864,198,434 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(864,198,434) = 2

common factors(in case of two or more numbers have common factors) = 18

GCF(864,198,434) x common factors =2 x 18 = 36

LCM(864,198,434) = ( 864 × 198 × 434 ) / 36

LCM(864,198,434) = 74245248 / 36

LCM(864,198,434) = 2062368


Lets's calculate GCF of 23,72,24

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2062368/1

Therefore the LCM of Fractions 864/23,198/72,434/24 is 2062368

Greatest Common Factor of 23,72,24 By Matching Biggest Common Factor Method

Greatest Common Factor of 23,72,24 By Matching Biggest Common Factor Method

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Greatest Common Factor

We found the factors 23,72,24 . The biggest common factor number is the GCF number.
So the greatest common factor 23,72,24 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 864/23, 198/72, 434/24

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 864/23, 198/72, 434/24?

Answer: LCM of Numerators as per given numbers 864/23, 198/72, 434/24 is

LCM of Numerators i.e. for 864,198,434 is 2062368

GCF of denominators i.e. for 23,72,24 is 1.

Thus, LCM of Fractions is 2062368.Finally, LCM of Fractions for 864/23, 198/72, 434/24 is 2062368.