Least Common Multiple of 47/472, 502/200, 582/813

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 47/472, 502/200, 582/813 quickly i.e. 6865854 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 47/472, 502/200, 582/813 is 6865854.

LCM(47/472, 502/200, 582/813) = 6865854

LCM of 47/472, 502/200, 582/813

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 47/472,502/200,582/813

Given numbers are 47/472,502/200,582/813

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 47,502,582

Least Common Multiple of Numerators i.e. LCM of 47,502,582 is 6865854.

GCF of Denominators means GCF of 472,200,813 as per the given fractions.

GCF of 472,200,813 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 47,502,582

LCM of Fractions 47/472,502/200,582/813 is 6865854

2 47, 502, 582
47, 251, 291

∴ So the LCM of the given numbers is 2 x 47 x 251 x 291 = 6865854

Least Common Multiple of 47,502,582 with GCF Formula

Least Common Multiple of 47,502,582 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 47,502,582 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,502,582) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(47,502,582) x common factors =1 x 2 = 2

LCM(47,502,582) = ( 47 × 502 × 582 ) / 2

LCM(47,502,582) = 13731708 / 2

LCM(47,502,582) = 6865854


Lets's calculate GCF of 472,200,813

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6865854/1

Therefore the LCM of Fractions 47/472,502/200,582/813 is 6865854

Greatest Common Factor of 472,200,813 By Matching Biggest Common Factor Method

Greatest Common Factor of 472,200,813 By Matching Biggest Common Factor Method

Factors of 472

List of positive integer factors of 472 that divides 472 without a remainder.

1,2,4,8,59,118,236,472

Factors of 200

List of positive integer factors of 200 that divides 200 without a remainder.

1,2,4,5,8,10,20,25,40,50,100,200

Factors of 813

List of positive integer factors of 813 that divides 813 without a remainder.

1,3,271,813

Greatest Common Factor

We found the factors 472,200,813 . The biggest common factor number is the GCF number.
So the greatest common factor 472,200,813 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 47/472, 502/200, 582/813

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 47/472, 502/200, 582/813?

Answer: LCM of Numerators as per given numbers 47/472, 502/200, 582/813 is

LCM of Numerators i.e. for 47,502,582 is 6865854

GCF of denominators i.e. for 472,200,813 is 1.

Thus, LCM of Fractions is 6865854.Finally, LCM of Fractions for 47/472, 502/200, 582/813 is 6865854.