Least Common Multiple of 81/600, 571/308, 660/788

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 81/600, 571/308, 660/788 quickly i.e. 2543805 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 81/600, 571/308, 660/788 is 2543805.

LCM(81/600, 571/308, 660/788) = 2543805

LCM of 81/600, 571/308, 660/788

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 81/600,571/308,660/788

Given numbers are 81/600,571/308,660/788

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 81,571,660

Least Common Multiple of Numerators i.e. LCM of 81,571,660 is 10175220.

GCF of Denominators means GCF of 600,308,788 as per the given fractions.

GCF of 600,308,788 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 81,571,660

LCM of Fractions 81/600,571/308,660/788 is 2543805

3 81, 571, 660
27, 571, 220

∴ So the LCM of the given numbers is 3 x 27 x 571 x 220 = 10175220

Least Common Multiple of 81,571,660 with GCF Formula

Least Common Multiple of 81,571,660 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 81,571,660 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,571,660) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(81,571,660) x common factors =1 x 3 = 3

LCM(81,571,660) = ( 81 × 571 × 660 ) / 3

LCM(81,571,660) = 30525660 / 3

LCM(81,571,660) = 10175220


Lets's calculate GCF of 600,308,788

2 600, 308, 788
2 300, 154, 394
150, 77, 197

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10175220/4

Therefore the LCM of Fractions 81/600,571/308,660/788 is 2543805

Greatest Common Factor of 600,308,788 By Matching Biggest Common Factor Method

Greatest Common Factor of 600,308,788 By Matching Biggest Common Factor Method

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

Factors of 308

List of positive integer factors of 308 that divides 308 without a remainder.

1,2,4,7,11,14,22,28,44,77,154,308

Factors of 788

List of positive integer factors of 788 that divides 788 without a remainder.

1,2,4,197,394,788

Greatest Common Factor

We found the factors 600,308,788 . The biggest common factor number is the GCF number.
So the greatest common factor 600,308,788 is 4.


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 81/600, 571/308, 660/788

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 81/600, 571/308, 660/788?

Answer: LCM of Numerators as per given numbers 81/600, 571/308, 660/788 is

LCM of Numerators i.e. for 81,571,660 is 10175220

GCF of denominators i.e. for 600,308,788 is 4.

Thus, LCM of Fractions is 2543805.Finally, LCM of Fractions for 81/600, 571/308, 660/788 is 2543805.