Least Common Multiple of 43/486, 58/823, 229/792

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 43/486, 58/823, 229/792 quickly i.e. 571126 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 43/486, 58/823, 229/792 is 571126.

LCM(43/486, 58/823, 229/792) = 571126

LCM of 43/486, 58/823, 229/792

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 43/486,58/823,229/792

Given numbers are 43/486,58/823,229/792

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 43,58,229

Least Common Multiple of Numerators i.e. LCM of 43,58,229 is 571126.

GCF of Denominators means GCF of 486,823,792 as per the given fractions.

GCF of 486,823,792 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 43,58,229

LCM of Fractions 43/486,58/823,229/792 is 571126

Given numbers has no common factors except 1. So, there LCM is their product i.e 571126

Least Common Multiple of 43,58,229 with GCF Formula

Least Common Multiple of 43,58,229 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 43,58,229 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,58,229) = 1

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

GCF(43,58,229) x common factors =1 x 1 = 1

LCM(43,58,229) = ( 43 × 58 × 229 ) / 1

LCM(43,58,229) = 571126 / 1

LCM(43,58,229) = 571126


Lets's calculate GCF of 486,823,792

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 571126/1

Therefore the LCM of Fractions 43/486,58/823,229/792 is 571126

Greatest Common Factor of 486,823,792 By Matching Biggest Common Factor Method

Greatest Common Factor of 486,823,792 By Matching Biggest Common Factor Method

Factors of 486

List of positive integer factors of 486 that divides 486 without a remainder.

1,2,3,6,9,18,27,54,81,162,243,486

Factors of 823

List of positive integer factors of 823 that divides 823 without a remainder.

1,823

Factors of 792

List of positive integer factors of 792 that divides 792 without a remainder.

1,2,3,4,6,8,9,11,12,18,22,24,33,36,44,66,72,88,99,132,198,264,396,792

Greatest Common Factor

We found the factors 486,823,792 . The biggest common factor number is the GCF number.
So the greatest common factor 486,823,792 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 43/486, 58/823, 229/792

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 43/486, 58/823, 229/792?

Answer: LCM of Numerators as per given numbers 43/486, 58/823, 229/792 is

LCM of Numerators i.e. for 43,58,229 is 571126

GCF of denominators i.e. for 486,823,792 is 1.

Thus, LCM of Fractions is 571126.Finally, LCM of Fractions for 43/486, 58/823, 229/792 is 571126.