Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3/95, 3/96, 2/43, 79/911 quickly i.e. 474 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3/95, 3/96, 2/43, 79/911 is 474.
LCM(3/95, 3/96, 2/43, 79/911) = 474
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3/95,3/96,2/43,79/911
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 3,3,2,79
Least Common Multiple of Numerators i.e. LCM of 3,3,2,79 is 474.
GCF of Denominators means GCF of 95,96,43,911 as per the given fractions.
GCF of 95,96,43,911 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3,3,2,79
3 | 3, 3, 2, 79 |
1, 1, 2, 79 |
∴ So the LCM of the given numbers is 3 x 1 x 1 x 2 x 79 = 474
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 3,3,2,79 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3,3,2,79) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(3,3,2,79) x common factors =1 x 3 = 3
LCM(3,3,2,79) = ( 3 × 3 × 2 × 79 ) / 3
LCM(3,3,2,79) = 1422 / 3
LCM(3,3,2,79) = 474
Lets's calculate GCF of 95,96,43,911
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 474/1
Therefore the LCM of Fractions 3/95,3/96,2/43,79/911 is 474
Factors of 95
List of positive integer factors of 95 that divides 95 without a remainder.
1,5,19,95
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 43
List of positive integer factors of 43 that divides 43 without a remainder.
1,43
Factors of 911
List of positive integer factors of 911 that divides 911 without a remainder.
1,911
Greatest Common Factor
We found the factors 95,96,43,911 . The biggest common factor number is the GCF number.
So the greatest common factor 95,96,43,911 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 3/95, 3/96, 2/43, 79/911?
Answer: LCM of Numerators as per given numbers 3/95, 3/96, 2/43, 79/911 is
LCM of Numerators i.e. for 3,3,2,79 is 474
GCF of denominators i.e. for 95,96,43,911 is 1.
Thus, LCM of Fractions is 474.Finally, LCM of Fractions for 3/95, 3/96, 2/43, 79/911 is 474.