Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 95/41, 95/58, 98/50, 20/833 quickly i.e. 18620 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 95/41, 95/58, 98/50, 20/833 is 18620.
LCM(95/41, 95/58, 98/50, 20/833) = 18620
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 95/41,95/58,98/50,20/833
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 95,95,98,20
Least Common Multiple of Numerators i.e. LCM of 95,95,98,20 is 18620.
GCF of Denominators means GCF of 41,58,50,833 as per the given fractions.
GCF of 41,58,50,833 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 95,95,98,20
2 | 95, 95, 98, 20 |
5 | 95, 95, 49, 10 |
19 | 19, 19, 49, 2 |
1, 1, 49, 2 |
∴ So the LCM of the given numbers is 2 x 5 x 19 x 1 x 1 x 49 x 2 = 18620
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 95,95,98,20 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(95,95,98,20) = 1
common factors(in case of two or more numbers have common factors) = 950
GCF(95,95,98,20) x common factors =1 x 950 = 950
LCM(95,95,98,20) = ( 95 × 95 × 98 × 20 ) / 950
LCM(95,95,98,20) = 17689000 / 950
LCM(95,95,98,20) = 18620
Lets's calculate GCF of 41,58,50,833
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18620/1
Therefore the LCM of Fractions 95/41,95/58,98/50,20/833 is 18620
Factors of 41
List of positive integer factors of 41 that divides 41 without a remainder.
1,41
Factors of 58
List of positive integer factors of 58 that divides 58 without a remainder.
1,2,29,58
Factors of 50
List of positive integer factors of 50 that divides 50 without a remainder.
1,2,5,10,25,50
Factors of 833
List of positive integer factors of 833 that divides 833 without a remainder.
1,7,17,49,119,833
Greatest Common Factor
We found the factors 41,58,50,833 . The biggest common factor number is the GCF number.
So the greatest common factor 41,58,50,833 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 95/41, 95/58, 98/50, 20/833?
Answer: LCM of Numerators as per given numbers 95/41, 95/58, 98/50, 20/833 is
LCM of Numerators i.e. for 95,95,98,20 is 18620
GCF of denominators i.e. for 41,58,50,833 is 1.
Thus, LCM of Fractions is 18620.Finally, LCM of Fractions for 95/41, 95/58, 98/50, 20/833 is 18620.