Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 91/44, 94/83, 68/21, 36/581 quickly i.e. 2617524 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 91/44, 94/83, 68/21, 36/581 is 2617524.
LCM(91/44, 94/83, 68/21, 36/581) = 2617524
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 91/44,94/83,68/21,36/581
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 91,94,68,36
Least Common Multiple of Numerators i.e. LCM of 91,94,68,36 is 2617524.
GCF of Denominators means GCF of 44,83,21,581 as per the given fractions.
GCF of 44,83,21,581 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 91,94,68,36
2 | 91, 94, 68, 36 |
2 | 91, 47, 34, 18 |
91, 47, 17, 9 |
∴ So the LCM of the given numbers is 2 x 2 x 91 x 47 x 17 x 9 = 2617524
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 91,94,68,36 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(91,94,68,36) = 1
common factors(in case of two or more numbers have common factors) = 8
GCF(91,94,68,36) x common factors =1 x 8 = 8
LCM(91,94,68,36) = ( 91 × 94 × 68 × 36 ) / 8
LCM(91,94,68,36) = 20940192 / 8
LCM(91,94,68,36) = 2617524
Lets's calculate GCF of 44,83,21,581
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2617524/1
Therefore the LCM of Fractions 91/44,94/83,68/21,36/581 is 2617524
Factors of 44
List of positive integer factors of 44 that divides 44 without a remainder.
1,2,4,11,22,44
Factors of 83
List of positive integer factors of 83 that divides 83 without a remainder.
1,83
Factors of 21
List of positive integer factors of 21 that divides 21 without a remainder.
1,3,7,21
Factors of 581
List of positive integer factors of 581 that divides 581 without a remainder.
1,7,83,581
Greatest Common Factor
We found the factors 44,83,21,581 . The biggest common factor number is the GCF number.
So the greatest common factor 44,83,21,581 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 91/44, 94/83, 68/21, 36/581?
Answer: LCM of Numerators as per given numbers 91/44, 94/83, 68/21, 36/581 is
LCM of Numerators i.e. for 91,94,68,36 is 2617524
GCF of denominators i.e. for 44,83,21,581 is 1.
Thus, LCM of Fractions is 2617524.Finally, LCM of Fractions for 91/44, 94/83, 68/21, 36/581 is 2617524.