Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2/96, 6/52, 77/57, 30/580 quickly i.e. 2310 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2/96, 6/52, 77/57, 30/580 is 2310.
LCM(2/96, 6/52, 77/57, 30/580) = 2310
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2/96,6/52,77/57,30/580
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 2,6,77,30
Least Common Multiple of Numerators i.e. LCM of 2,6,77,30 is 2310.
GCF of Denominators means GCF of 96,52,57,580 as per the given fractions.
GCF of 96,52,57,580 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2,6,77,30
2 | 2, 6, 77, 30 |
3 | 1, 3, 77, 15 |
1, 1, 77, 5 |
∴ So the LCM of the given numbers is 2 x 3 x 1 x 1 x 77 x 5 = 2310
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 2,6,77,30 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2,6,77,30) = 1
common factors(in case of two or more numbers have common factors) = 12
GCF(2,6,77,30) x common factors =1 x 12 = 12
LCM(2,6,77,30) = ( 2 × 6 × 77 × 30 ) / 12
LCM(2,6,77,30) = 27720 / 12
LCM(2,6,77,30) = 2310
Lets's calculate GCF of 96,52,57,580
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2310/1
Therefore the LCM of Fractions 2/96,6/52,77/57,30/580 is 2310
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 52
List of positive integer factors of 52 that divides 52 without a remainder.
1,2,4,13,26,52
Factors of 57
List of positive integer factors of 57 that divides 57 without a remainder.
1,3,19,57
Factors of 580
List of positive integer factors of 580 that divides 580 without a remainder.
1,2,4,5,10,20,29,58,116,145,290,580
Greatest Common Factor
We found the factors 96,52,57,580 . The biggest common factor number is the GCF number.
So the greatest common factor 96,52,57,580 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 2/96, 6/52, 77/57, 30/580?
Answer: LCM of Numerators as per given numbers 2/96, 6/52, 77/57, 30/580 is
LCM of Numerators i.e. for 2,6,77,30 is 2310
GCF of denominators i.e. for 96,52,57,580 is 1.
Thus, LCM of Fractions is 2310.Finally, LCM of Fractions for 2/96, 6/52, 77/57, 30/580 is 2310.