Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 183/11, 846/57, 436/615 quickly i.e. 11250108 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 183/11, 846/57, 436/615 is 11250108.
LCM(183/11, 846/57, 436/615) = 11250108
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 183/11,846/57,436/615
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 183,846,436
Least Common Multiple of Numerators i.e. LCM of 183,846,436 is 11250108.
GCF of Denominators means GCF of 11,57,615 as per the given fractions.
GCF of 11,57,615 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 183,846,436
2 | 183, 846, 436 |
3 | 183, 423, 218 |
61, 141, 218 |
∴ So the LCM of the given numbers is 2 x 3 x 61 x 141 x 218 = 11250108
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 183,846,436 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(183,846,436) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(183,846,436) x common factors =1 x 6 = 6
LCM(183,846,436) = ( 183 × 846 × 436 ) / 6
LCM(183,846,436) = 67500648 / 6
LCM(183,846,436) = 11250108
Lets's calculate GCF of 11,57,615
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11250108/1
Therefore the LCM of Fractions 183/11,846/57,436/615 is 11250108
Factors of 11
List of positive integer factors of 11 that divides 11 without a remainder.
1,11
Factors of 57
List of positive integer factors of 57 that divides 57 without a remainder.
1,3,19,57
Factors of 615
List of positive integer factors of 615 that divides 615 without a remainder.
1,3,5,15,41,123,205,615
Greatest Common Factor
We found the factors 11,57,615 . The biggest common factor number is the GCF number.
So the greatest common factor 11,57,615 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 183/11, 846/57, 436/615?
Answer: LCM of Numerators as per given numbers 183/11, 846/57, 436/615 is
LCM of Numerators i.e. for 183,846,436 is 11250108
GCF of denominators i.e. for 11,57,615 is 1.
Thus, LCM of Fractions is 11250108.Finally, LCM of Fractions for 183/11, 846/57, 436/615 is 11250108.