Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 11/52, 99/90, 57/374 quickly i.e. 1881/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 11/52, 99/90, 57/374 is 1881/2.
LCM(11/52, 99/90, 57/374) = 1881/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 11/52,99/90,57/374
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 11,99,57
Least Common Multiple of Numerators i.e. LCM of 11,99,57 is 1881.
GCF of Denominators means GCF of 52,90,374 as per the given fractions.
GCF of 52,90,374 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 11,99,57
3 | 11, 99, 57 |
11 | 11, 33, 19 |
1, 3, 19 |
∴ So the LCM of the given numbers is 3 x 11 x 1 x 3 x 19 = 1881
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 11,99,57 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(11,99,57) = 1
common factors(in case of two or more numbers have common factors) = 33
GCF(11,99,57) x common factors =1 x 33 = 33
LCM(11,99,57) = ( 11 × 99 × 57 ) / 33
LCM(11,99,57) = 62073 / 33
LCM(11,99,57) = 1881
Lets's calculate GCF of 52,90,374
2 | 52, 90, 374 |
26, 45, 187 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1881/2
Therefore the LCM of Fractions 11/52,99/90,57/374 is 1881/2
Factors of 52
List of positive integer factors of 52 that divides 52 without a remainder.
1,2,4,13,26,52
Factors of 90
List of positive integer factors of 90 that divides 90 without a remainder.
1,2,3,5,6,9,10,15,18,30,45,90
Factors of 374
List of positive integer factors of 374 that divides 374 without a remainder.
1,2,11,17,22,34,187,374
Greatest Common Factor
We found the factors 52,90,374 . The biggest common factor number is the GCF number.
So the greatest common factor 52,90,374 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 11/52, 99/90, 57/374?
Answer: LCM of Numerators as per given numbers 11/52, 99/90, 57/374 is
LCM of Numerators i.e. for 11,99,57 is 1881
GCF of denominators i.e. for 52,90,374 is 2.
Thus, LCM of Fractions is 1881/2.Finally, LCM of Fractions for 11/52, 99/90, 57/374 is 1881/2.