Least Common Multiple of 64/813, 27/566, 873/800

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 64/813, 27/566, 873/800 quickly i.e. 167616 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 64/813, 27/566, 873/800 is 167616.

LCM(64/813, 27/566, 873/800) = 167616

LCM of 64/813, 27/566, 873/800

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 64/813,27/566,873/800

Given numbers are 64/813,27/566,873/800

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 64,27,873

Least Common Multiple of Numerators i.e. LCM of 64,27,873 is 167616.

GCF of Denominators means GCF of 813,566,800 as per the given fractions.

GCF of 813,566,800 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 64,27,873

LCM of Fractions 64/813,27/566,873/800 is 167616

3 64, 27, 873
3 64, 9, 291
64, 3, 97

∴ So the LCM of the given numbers is 3 x 3 x 64 x 3 x 97 = 167616

Least Common Multiple of 64,27,873 with GCF Formula

Least Common Multiple of 64,27,873 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 64,27,873 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,27,873) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(64,27,873) x common factors =1 x 9 = 9

LCM(64,27,873) = ( 64 × 27 × 873 ) / 9

LCM(64,27,873) = 1508544 / 9

LCM(64,27,873) = 167616


Lets's calculate GCF of 813,566,800

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 167616/1

Therefore the LCM of Fractions 64/813,27/566,873/800 is 167616

Greatest Common Factor of 813,566,800 By Matching Biggest Common Factor Method

Greatest Common Factor of 813,566,800 By Matching Biggest Common Factor Method

Factors of 813

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

1,3,271,813

Factors of 566

List of positive integer factors of 566 that divides 566 without a remainder.

1,2,283,566

Factors of 800

List of positive integer factors of 800 that divides 800 without a remainder.

1,2,4,5,8,10,16,20,25,32,40,50,80,100,160,200,400,800

Greatest Common Factor

We found the factors 813,566,800 . The biggest common factor number is the GCF number.
So the greatest common factor 813,566,800 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 64/813, 27/566, 873/800

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 64/813, 27/566, 873/800?

Answer: LCM of Numerators as per given numbers 64/813, 27/566, 873/800 is

LCM of Numerators i.e. for 64,27,873 is 167616

GCF of denominators i.e. for 813,566,800 is 1.

Thus, LCM of Fractions is 167616.Finally, LCM of Fractions for 64/813, 27/566, 873/800 is 167616.