Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 95/52, 928/96, 915/874 quickly i.e. 8066640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 95/52, 928/96, 915/874 is 8066640.
LCM(95/52, 928/96, 915/874) = 8066640
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 95/52,928/96,915/874
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 95,928,915
Least Common Multiple of Numerators i.e. LCM of 95,928,915 is 16133280.
GCF of Denominators means GCF of 52,96,874 as per the given fractions.
GCF of 52,96,874 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 95,928,915
5 | 95, 928, 915 |
19, 928, 183 |
∴ So the LCM of the given numbers is 5 x 19 x 928 x 183 = 16133280
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 95,928,915 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(95,928,915) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(95,928,915) x common factors =1 x 5 = 5
LCM(95,928,915) = ( 95 × 928 × 915 ) / 5
LCM(95,928,915) = 80666400 / 5
LCM(95,928,915) = 16133280
Lets's calculate GCF of 52,96,874
2 | 52, 96, 874 |
26, 48, 437 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16133280/2
Therefore the LCM of Fractions 95/52,928/96,915/874 is 8066640
Factors of 52
List of positive integer factors of 52 that divides 52 without a remainder.
1,2,4,13,26,52
Factors of 96
List of positive integer factors of 96 that divides 96 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,96
Factors of 874
List of positive integer factors of 874 that divides 874 without a remainder.
1,2,19,23,38,46,437,874
Greatest Common Factor
We found the factors 52,96,874 . The biggest common factor number is the GCF number.
So the greatest common factor 52,96,874 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 95/52, 928/96, 915/874?
Answer: LCM of Numerators as per given numbers 95/52, 928/96, 915/874 is
LCM of Numerators i.e. for 95,928,915 is 16133280
GCF of denominators i.e. for 52,96,874 is 2.
Thus, LCM of Fractions is 8066640.Finally, LCM of Fractions for 95/52, 928/96, 915/874 is 8066640.