Least Common Multiple of 66/827, 578/301, 563/600

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 66/827, 578/301, 563/600 quickly i.e. 10738662 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 66/827, 578/301, 563/600 is 10738662.

LCM(66/827, 578/301, 563/600) = 10738662

LCM of 66/827, 578/301, 563/600

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 66/827,578/301,563/600

Given numbers are 66/827,578/301,563/600

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 66,578,563

Least Common Multiple of Numerators i.e. LCM of 66,578,563 is 10738662.

GCF of Denominators means GCF of 827,301,600 as per the given fractions.

GCF of 827,301,600 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 66,578,563

LCM of Fractions 66/827,578/301,563/600 is 10738662

2 66, 578, 563
33, 289, 563

∴ So the LCM of the given numbers is 2 x 33 x 289 x 563 = 10738662

Least Common Multiple of 66,578,563 with GCF Formula

Least Common Multiple of 66,578,563 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 66,578,563 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,578,563) = 1

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

GCF(66,578,563) x common factors =1 x 2 = 2

LCM(66,578,563) = ( 66 × 578 × 563 ) / 2

LCM(66,578,563) = 21477324 / 2

LCM(66,578,563) = 10738662


Lets's calculate GCF of 827,301,600

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10738662/1

Therefore the LCM of Fractions 66/827,578/301,563/600 is 10738662

Greatest Common Factor of 827,301,600 By Matching Biggest Common Factor Method

Greatest Common Factor of 827,301,600 By Matching Biggest Common Factor Method

Factors of 827

List of positive integer factors of 827 that divides 827 without a remainder.

1,827

Factors of 301

List of positive integer factors of 301 that divides 301 without a remainder.

1,7,43,301

Factors of 600

List of positive integer factors of 600 that divides 600 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,25,30,40,50,60,75,100,120,150,200,300,600

Greatest Common Factor

We found the factors 827,301,600 . The biggest common factor number is the GCF number.
So the greatest common factor 827,301,600 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 66/827, 578/301, 563/600

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 66/827, 578/301, 563/600?

Answer: LCM of Numerators as per given numbers 66/827, 578/301, 563/600 is

LCM of Numerators i.e. for 66,578,563 is 10738662

GCF of denominators i.e. for 827,301,600 is 1.

Thus, LCM of Fractions is 10738662.Finally, LCM of Fractions for 66/827, 578/301, 563/600 is 10738662.