Least Common Multiple of 99/96, 72/86, 523/266

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 99/96, 72/86, 523/266 quickly i.e. 207108 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 99/96, 72/86, 523/266 is 207108.

LCM(99/96, 72/86, 523/266) = 207108

LCM of 99/96, 72/86, 523/266

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 99/96,72/86,523/266

Given numbers are 99/96,72/86,523/266

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 99,72,523

Least Common Multiple of Numerators i.e. LCM of 99,72,523 is 414216.

GCF of Denominators means GCF of 96,86,266 as per the given fractions.

GCF of 96,86,266 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 99,72,523

LCM of Fractions 99/96,72/86,523/266 is 207108

3 99, 72, 523
3 33, 24, 523
11, 8, 523

∴ So the LCM of the given numbers is 3 x 3 x 11 x 8 x 523 = 414216

Least Common Multiple of 99,72,523 with GCF Formula

Least Common Multiple of 99,72,523 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 99,72,523 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,72,523) = 1

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

GCF(99,72,523) x common factors =1 x 9 = 9

LCM(99,72,523) = ( 99 × 72 × 523 ) / 9

LCM(99,72,523) = 3727944 / 9

LCM(99,72,523) = 414216


Lets's calculate GCF of 96,86,266

2 96, 86, 266
48, 43, 133

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 414216/2

Therefore the LCM of Fractions 99/96,72/86,523/266 is 207108

Greatest Common Factor of 96,86,266 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,86,266 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 266

List of positive integer factors of 266 that divides 266 without a remainder.

1,2,7,14,19,38,133,266

Greatest Common Factor

We found the factors 96,86,266 . The biggest common factor number is the GCF number.
So the greatest common factor 96,86,266 is 2.


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 99/96, 72/86, 523/266

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 99/96, 72/86, 523/266?

Answer: LCM of Numerators as per given numbers 99/96, 72/86, 523/266 is

LCM of Numerators i.e. for 99,72,523 is 414216

GCF of denominators i.e. for 96,86,266 is 2.

Thus, LCM of Fractions is 207108.Finally, LCM of Fractions for 99/96, 72/86, 523/266 is 207108.