Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 91/96, 74/86, 99/69, 88/524 quickly i.e. 2666664 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 91/96, 74/86, 99/69, 88/524 is 2666664.
LCM(91/96, 74/86, 99/69, 88/524) = 2666664
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 91/96,74/86,99/69,88/524
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 91,74,99,88
Least Common Multiple of Numerators i.e. LCM of 91,74,99,88 is 2666664.
GCF of Denominators means GCF of 96,86,69,524 as per the given fractions.
GCF of 96,86,69,524 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 91,74,99,88
2 | 91, 74, 99, 88 |
11 | 91, 37, 99, 44 |
91, 37, 9, 4 |
∴ So the LCM of the given numbers is 2 x 11 x 91 x 37 x 9 x 4 = 2666664
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 91,74,99,88 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(91,74,99,88) = 1
common factors(in case of two or more numbers have common factors) = 22
GCF(91,74,99,88) x common factors =1 x 22 = 22
LCM(91,74,99,88) = ( 91 × 74 × 99 × 88 ) / 22
LCM(91,74,99,88) = 58666608 / 22
LCM(91,74,99,88) = 2666664
Lets's calculate GCF of 96,86,69,524
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2666664/1
Therefore the LCM of Fractions 91/96,74/86,99/69,88/524 is 2666664
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 69
List of positive integer factors of 69 that divides 69 without a remainder.
1,3,23,69
Factors of 524
List of positive integer factors of 524 that divides 524 without a remainder.
1,2,4,131,262,524
Greatest Common Factor
We found the factors 96,86,69,524 . The biggest common factor number is the GCF number.
So the greatest common factor 96,86,69,524 is 1.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
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 91/96, 74/86, 99/69, 88/524?
Answer: LCM of Numerators as per given numbers 91/96, 74/86, 99/69, 88/524 is
LCM of Numerators i.e. for 91,74,99,88 is 2666664
GCF of denominators i.e. for 96,86,69,524 is 1.
Thus, LCM of Fractions is 2666664.Finally, LCM of Fractions for 91/96, 74/86, 99/69, 88/524 is 2666664.