Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 12/474, 33/325, 746/136 quickly i.e. 49236 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 12/474, 33/325, 746/136 is 49236.
LCM(12/474, 33/325, 746/136) = 49236
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 12/474,33/325,746/136
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 12,33,746
Least Common Multiple of Numerators i.e. LCM of 12,33,746 is 49236.
GCF of Denominators means GCF of 474,325,136 as per the given fractions.
GCF of 474,325,136 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 12,33,746
2 | 12, 33, 746 |
3 | 6, 33, 373 |
2, 11, 373 |
∴ So the LCM of the given numbers is 2 x 3 x 2 x 11 x 373 = 49236
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 12,33,746 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(12,33,746) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(12,33,746) x common factors =1 x 6 = 6
LCM(12,33,746) = ( 12 × 33 × 746 ) / 6
LCM(12,33,746) = 295416 / 6
LCM(12,33,746) = 49236
Lets's calculate GCF of 474,325,136
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 49236/1
Therefore the LCM of Fractions 12/474,33/325,746/136 is 49236
Factors of 474
List of positive integer factors of 474 that divides 474 without a remainder.
1,2,3,6,79,158,237,474
Factors of 325
List of positive integer factors of 325 that divides 325 without a remainder.
1,5,13,25,65,325
Factors of 136
List of positive integer factors of 136 that divides 136 without a remainder.
1,2,4,8,17,34,68,136
Greatest Common Factor
We found the factors 474,325,136 . The biggest common factor number is the GCF number.
So the greatest common factor 474,325,136 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 12/474, 33/325, 746/136?
Answer: LCM of Numerators as per given numbers 12/474, 33/325, 746/136 is
LCM of Numerators i.e. for 12,33,746 is 49236
GCF of denominators i.e. for 474,325,136 is 1.
Thus, LCM of Fractions is 49236.Finally, LCM of Fractions for 12/474, 33/325, 746/136 is 49236.