Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 84/88, 22/91, 81/91, 84/13 quickly i.e. 24948 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 84/88, 22/91, 81/91, 84/13 is 24948.
LCM(84/88, 22/91, 81/91, 84/13) = 24948
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 84/88,22/91,81/91,84/13
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 84,22,81,84
Least Common Multiple of Numerators i.e. LCM of 84,22,81,84 is 24948.
GCF of Denominators means GCF of 88,91,91,13 as per the given fractions.
GCF of 88,91,91,13 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 84,22,81,84
2 | 84, 22, 81, 84 |
2 | 42, 11, 81, 42 |
3 | 21, 11, 81, 21 |
7 | 7, 11, 27, 7 |
1, 11, 27, 1 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 1 x 11 x 27 x 1 = 24948
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 84,22,81,84 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(84,22,81,84) = 1
common factors(in case of two or more numbers have common factors) = 504
GCF(84,22,81,84) x common factors =1 x 504 = 504
LCM(84,22,81,84) = ( 84 × 22 × 81 × 84 ) / 504
LCM(84,22,81,84) = 12573792 / 504
LCM(84,22,81,84) = 24948
Lets's calculate GCF of 88,91,91,13
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24948/1
Therefore the LCM of Fractions 84/88,22/91,81/91,84/13 is 24948
Factors of 88
List of positive integer factors of 88 that divides 88 without a remainder.
1,2,4,8,11,22,44,88
Factors of 91
List of positive integer factors of 91 that divides 91 without a remainder.
1,7,13,91
Factors of 91
List of positive integer factors of 91 that divides 91 without a remainder.
1,7,13,91
Factors of 13
List of positive integer factors of 13 that divides 13 without a remainder.
1,13
Greatest Common Factor
We found the factors 88,91,91,13 . The biggest common factor number is the GCF number.
So the greatest common factor 88,91,91,13 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 84/88, 22/91, 81/91, 84/13?
Answer: LCM of Numerators as per given numbers 84/88, 22/91, 81/91, 84/13 is
LCM of Numerators i.e. for 84,22,81,84 is 24948
GCF of denominators i.e. for 88,91,91,13 is 1.
Thus, LCM of Fractions is 24948.Finally, LCM of Fractions for 84/88, 22/91, 81/91, 84/13 is 24948.