Least Common Multiple of 864/24, 272/69, 986/809

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 864/24, 272/69, 986/809 quickly i.e. 425952 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 864/24, 272/69, 986/809 is 425952.

LCM(864/24, 272/69, 986/809) = 425952

LCM of 864/24, 272/69, 986/809

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 864/24,272/69,986/809

Given numbers are 864/24,272/69,986/809

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 864,272,986

Least Common Multiple of Numerators i.e. LCM of 864,272,986 is 425952.

GCF of Denominators means GCF of 24,69,809 as per the given fractions.

GCF of 24,69,809 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 864,272,986

LCM of Fractions 864/24,272/69,986/809 is 425952

2 864, 272, 986
2 432, 136, 493
2 216, 68, 493
2 108, 34, 493
17 54, 17, 493
54, 1, 29

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 17 x 54 x 1 x 29 = 425952

Least Common Multiple of 864,272,986 with GCF Formula

Least Common Multiple of 864,272,986 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 864,272,986 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(864,272,986) = 2

common factors(in case of two or more numbers have common factors) = 272

GCF(864,272,986) x common factors =2 x 272 = 544

LCM(864,272,986) = ( 864 × 272 × 986 ) / 544

LCM(864,272,986) = 231717888 / 544

LCM(864,272,986) = 425952


Lets's calculate GCF of 24,69,809

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 425952/1

Therefore the LCM of Fractions 864/24,272/69,986/809 is 425952

Greatest Common Factor of 24,69,809 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,69,809 By Matching Biggest Common Factor Method

Factors of 24

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

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

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 809

List of positive integer factors of 809 that divides 809 without a remainder.

1,809

Greatest Common Factor

We found the factors 24,69,809 . The biggest common factor number is the GCF number.
So the greatest common factor 24,69,809 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 864/24, 272/69, 986/809

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 864/24, 272/69, 986/809?

Answer: LCM of Numerators as per given numbers 864/24, 272/69, 986/809 is

LCM of Numerators i.e. for 864,272,986 is 425952

GCF of denominators i.e. for 24,69,809 is 1.

Thus, LCM of Fractions is 425952.Finally, LCM of Fractions for 864/24, 272/69, 986/809 is 425952.