Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 59/14, 56/26, 89/20, 901/82 quickly i.e. 132472228 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 59/14, 56/26, 89/20, 901/82 is 132472228.
LCM(59/14, 56/26, 89/20, 901/82) = 132472228
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 59/14,56/26,89/20,901/82
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 59,56,89,901
Least Common Multiple of Numerators i.e. LCM of 59,56,89,901 is 264944456.
GCF of Denominators means GCF of 14,26,20,82 as per the given fractions.
GCF of 14,26,20,82 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 59,56,89,901
Given numbers has no common factors except 1. So, there LCM is their product i.e 264944456
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 59,56,89,901 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(59,56,89,901) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(59,56,89,901) x common factors =1 x 1 = 1
LCM(59,56,89,901) = ( 59 × 56 × 89 × 901 ) / 1
LCM(59,56,89,901) = 264944456 / 1
LCM(59,56,89,901) = 264944456
Lets's calculate GCF of 14,26,20,82
2 | 14, 26, 20, 82 |
7, 13, 10, 41 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 264944456/2
Therefore the LCM of Fractions 59/14,56/26,89/20,901/82 is 132472228
Factors of 14
List of positive integer factors of 14 that divides 14 without a remainder.
1,2,7,14
Factors of 26
List of positive integer factors of 26 that divides 26 without a remainder.
1,2,13,26
Factors of 20
List of positive integer factors of 20 that divides 20 without a remainder.
1,2,4,5,10,20
Factors of 82
List of positive integer factors of 82 that divides 82 without a remainder.
1,2,41,82
Greatest Common Factor
We found the factors 14,26,20,82 . The biggest common factor number is the GCF number.
So the greatest common factor 14,26,20,82 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 59/14, 56/26, 89/20, 901/82?
Answer: LCM of Numerators as per given numbers 59/14, 56/26, 89/20, 901/82 is
LCM of Numerators i.e. for 59,56,89,901 is 264944456
GCF of denominators i.e. for 14,26,20,82 is 2.
Thus, LCM of Fractions is 132472228.Finally, LCM of Fractions for 59/14, 56/26, 89/20, 901/82 is 132472228.