Least Common Multiple of 47/818, 22/360, 479/842

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 47/818, 22/360, 479/842 quickly i.e. 247643 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 47/818, 22/360, 479/842 is 247643.

LCM(47/818, 22/360, 479/842) = 247643

LCM of 47/818, 22/360, 479/842

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 47/818,22/360,479/842

Given numbers are 47/818,22/360,479/842

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 47,22,479

Least Common Multiple of Numerators i.e. LCM of 47,22,479 is 495286.

GCF of Denominators means GCF of 818,360,842 as per the given fractions.

GCF of 818,360,842 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 47,22,479

LCM of Fractions 47/818,22/360,479/842 is 247643

Given numbers has no common factors except 1. So, there LCM is their product i.e 495286

Least Common Multiple of 47,22,479 with GCF Formula

Least Common Multiple of 47,22,479 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 47,22,479 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,22,479) = 1

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

GCF(47,22,479) x common factors =1 x 1 = 1

LCM(47,22,479) = ( 47 × 22 × 479 ) / 1

LCM(47,22,479) = 495286 / 1

LCM(47,22,479) = 495286


Lets's calculate GCF of 818,360,842

2 818, 360, 842
409, 180, 421

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 495286/2

Therefore the LCM of Fractions 47/818,22/360,479/842 is 247643

Greatest Common Factor of 818,360,842 By Matching Biggest Common Factor Method

Greatest Common Factor of 818,360,842 By Matching Biggest Common Factor Method

Factors of 818

List of positive integer factors of 818 that divides 818 without a remainder.

1,2,409,818

Factors of 360

List of positive integer factors of 360 that divides 360 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360

Factors of 842

List of positive integer factors of 842 that divides 842 without a remainder.

1,2,421,842

Greatest Common Factor

We found the factors 818,360,842 . The biggest common factor number is the GCF number.
So the greatest common factor 818,360,842 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 47/818, 22/360, 479/842

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 47/818, 22/360, 479/842?

Answer: LCM of Numerators as per given numbers 47/818, 22/360, 479/842 is

LCM of Numerators i.e. for 47,22,479 is 495286

GCF of denominators i.e. for 818,360,842 is 2.

Thus, LCM of Fractions is 247643.Finally, LCM of Fractions for 47/818, 22/360, 479/842 is 247643.