Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 28/59, 45/23, 41/88, 47/959 quickly i.e. 2428020 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 28/59, 45/23, 41/88, 47/959 is 2428020.
LCM(28/59, 45/23, 41/88, 47/959) = 2428020
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 28/59,45/23,41/88,47/959
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 28,45,41,47
Least Common Multiple of Numerators i.e. LCM of 28,45,41,47 is 2428020.
GCF of Denominators means GCF of 59,23,88,959 as per the given fractions.
GCF of 59,23,88,959 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 28,45,41,47
Given numbers has no common factors except 1. So, there LCM is their product i.e 2428020
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 28,45,41,47 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(28,45,41,47) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(28,45,41,47) x common factors =1 x 1 = 1
LCM(28,45,41,47) = ( 28 × 45 × 41 × 47 ) / 1
LCM(28,45,41,47) = 2428020 / 1
LCM(28,45,41,47) = 2428020
Lets's calculate GCF of 59,23,88,959
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2428020/1
Therefore the LCM of Fractions 28/59,45/23,41/88,47/959 is 2428020
Factors of 59
List of positive integer factors of 59 that divides 59 without a remainder.
1,59
Factors of 23
List of positive integer factors of 23 that divides 23 without a remainder.
1,23
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 959
List of positive integer factors of 959 that divides 959 without a remainder.
1,7,137,959
Greatest Common Factor
We found the factors 59,23,88,959 . The biggest common factor number is the GCF number.
So the greatest common factor 59,23,88,959 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 28/59, 45/23, 41/88, 47/959?
Answer: LCM of Numerators as per given numbers 28/59, 45/23, 41/88, 47/959 is
LCM of Numerators i.e. for 28,45,41,47 is 2428020
GCF of denominators i.e. for 59,23,88,959 is 1.
Thus, LCM of Fractions is 2428020.Finally, LCM of Fractions for 28/59, 45/23, 41/88, 47/959 is 2428020.