Least Common Multiple of 523/99, 773/60, 816/116

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 523/99, 773/60, 816/116 quickly i.e. 329891664 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 523/99, 773/60, 816/116 is 329891664.

LCM(523/99, 773/60, 816/116) = 329891664

LCM of 523/99, 773/60, 816/116

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 523/99,773/60,816/116

Given numbers are 523/99,773/60,816/116

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 523,773,816

Least Common Multiple of Numerators i.e. LCM of 523,773,816 is 329891664.

GCF of Denominators means GCF of 99,60,116 as per the given fractions.

GCF of 99,60,116 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 523,773,816

LCM of Fractions 523/99,773/60,816/116 is 329891664

Given numbers has no common factors except 1. So, there LCM is their product i.e 329891664

Least Common Multiple of 523,773,816 with GCF Formula

Least Common Multiple of 523,773,816 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 523,773,816 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(523,773,816) = 1

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

GCF(523,773,816) x common factors =1 x 1 = 1

LCM(523,773,816) = ( 523 × 773 × 816 ) / 1

LCM(523,773,816) = 329891664 / 1

LCM(523,773,816) = 329891664


Lets's calculate GCF of 99,60,116

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 329891664/1

Therefore the LCM of Fractions 523/99,773/60,816/116 is 329891664

Greatest Common Factor of 99,60,116 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,60,116 By Matching Biggest Common Factor Method

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 116

List of positive integer factors of 116 that divides 116 without a remainder.

1,2,4,29,58,116

Greatest Common Factor

We found the factors 99,60,116 . The biggest common factor number is the GCF number.
So the greatest common factor 99,60,116 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 523/99, 773/60, 816/116

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 523/99, 773/60, 816/116?

Answer: LCM of Numerators as per given numbers 523/99, 773/60, 816/116 is

LCM of Numerators i.e. for 523,773,816 is 329891664

GCF of denominators i.e. for 99,60,116 is 1.

Thus, LCM of Fractions is 329891664.Finally, LCM of Fractions for 523/99, 773/60, 816/116 is 329891664.