Least Common Multiple of 864/44, 489/6086

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 864/44, 489/6086 quickly i.e. 70416 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 864/44, 489/6086 is 70416.

LCM(864/44, 489/6086) = 70416

LCM of 864/44, 489/6086

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 864/44,489/6086

Given numbers are 864/44,489/6086

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 864,489

Least Common Multiple of Numerators i.e. LCM of 864,489 is 140832.

GCF of Denominators means GCF of 44,6086 as per the given fractions.

GCF of 44,6086 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 864,489

LCM of Fractions 864/44,489/6086 is 70416

3 864, 489
288, 163

∴ So the LCM of the given numbers is 3 x 288 x 163 = 140832

Least Common Multiple of 864,489 with GCF Formula

Least Common Multiple of 864,489 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 864,489 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(864,489) = 3

common factors(in case of two or more numbers have common factors) = 1

GCF(864,489) x common factors =3 x 1 = 3

LCM(864,489) = ( 864 × 489 ) / 3

LCM(864,489) = 422496 / 3

LCM(864,489) = 140832


Lets's calculate GCF of 44,6086

2 44, 6086
22, 3043

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 140832/2

Therefore the LCM of Fractions 864/44,489/6086 is 70416

Greatest Common Factor of 44,6086 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,6086 By Matching Biggest Common Factor Method

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 6086

List of positive integer factors of 6086 that divides 6086 without a remainder.

1,2,17,34,179,358,3043,6086

Greatest Common Factor

We found the factors 44,6086 . The biggest common factor number is the GCF number.
So the greatest common factor 44,6086 is 2.


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 864/44, 489/6086

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 864/44, 489/6086?

Answer: LCM of Numerators as per given numbers 864/44, 489/6086 is

LCM of Numerators i.e. for 864,489 is 140832

GCF of denominators i.e. for 44,6086 is 2.

Thus, LCM of Fractions is 70416.Finally, LCM of Fractions for 864/44, 489/6086 is 70416.