Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 91/14, 56/58, 97/44, 84/54 quickly i.e. 105924 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 91/14, 56/58, 97/44, 84/54 is 105924.
LCM(91/14, 56/58, 97/44, 84/54) = 105924
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 91/14,56/58,97/44,84/54
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 91,56,97,84
Least Common Multiple of Numerators i.e. LCM of 91,56,97,84 is 211848.
GCF of Denominators means GCF of 14,58,44,54 as per the given fractions.
GCF of 14,58,44,54 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 91,56,97,84
2 | 91, 56, 97, 84 |
2 | 91, 28, 97, 42 |
7 | 91, 14, 97, 21 |
13, 2, 97, 3 |
∴ So the LCM of the given numbers is 2 x 2 x 7 x 13 x 2 x 97 x 3 = 211848
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 91,56,97,84 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(91,56,97,84) = 1
common factors(in case of two or more numbers have common factors) = 196
GCF(91,56,97,84) x common factors =1 x 196 = 196
LCM(91,56,97,84) = ( 91 × 56 × 97 × 84 ) / 196
LCM(91,56,97,84) = 41522208 / 196
LCM(91,56,97,84) = 211848
Lets's calculate GCF of 14,58,44,54
2 | 14, 58, 44, 54 |
7, 29, 22, 27 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 211848/2
Therefore the LCM of Fractions 91/14,56/58,97/44,84/54 is 105924
Factors of 14
List of positive integer factors of 14 that divides 14 without a remainder.
1,2,7,14
Factors of 58
List of positive integer factors of 58 that divides 58 without a remainder.
1,2,29,58
Factors of 44
List of positive integer factors of 44 that divides 44 without a remainder.
1,2,4,11,22,44
Factors of 54
List of positive integer factors of 54 that divides 54 without a remainder.
1,2,3,6,9,18,27,54
Greatest Common Factor
We found the factors 14,58,44,54 . The biggest common factor number is the GCF number.
So the greatest common factor 14,58,44,54 is 2.
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 91/14, 56/58, 97/44, 84/54?
Answer: LCM of Numerators as per given numbers 91/14, 56/58, 97/44, 84/54 is
LCM of Numerators i.e. for 91,56,97,84 is 211848
GCF of denominators i.e. for 14,58,44,54 is 2.
Thus, LCM of Fractions is 105924.Finally, LCM of Fractions for 91/14, 56/58, 97/44, 84/54 is 105924.