Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 36/39, 58/47, 66/703 quickly i.e. 11484 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 36/39, 58/47, 66/703 is 11484.
LCM(36/39, 58/47, 66/703) = 11484
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 36/39,58/47,66/703
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 36,58,66
Least Common Multiple of Numerators i.e. LCM of 36,58,66 is 11484.
GCF of Denominators means GCF of 39,47,703 as per the given fractions.
GCF of 39,47,703 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 36,58,66
2 | 36, 58, 66 |
3 | 18, 29, 33 |
6, 29, 11 |
∴ So the LCM of the given numbers is 2 x 3 x 6 x 29 x 11 = 11484
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 36,58,66 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(36,58,66) = 2
common factors(in case of two or more numbers have common factors) = 6
GCF(36,58,66) x common factors =2 x 6 = 12
LCM(36,58,66) = ( 36 × 58 × 66 ) / 12
LCM(36,58,66) = 137808 / 12
LCM(36,58,66) = 11484
Lets's calculate GCF of 39,47,703
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11484/1
Therefore the LCM of Fractions 36/39,58/47,66/703 is 11484
Factors of 39
List of positive integer factors of 39 that divides 39 without a remainder.
1,3,13,39
Factors of 47
List of positive integer factors of 47 that divides 47 without a remainder.
1,47
Factors of 703
List of positive integer factors of 703 that divides 703 without a remainder.
1,19,37,703
Greatest Common Factor
We found the factors 39,47,703 . The biggest common factor number is the GCF number.
So the greatest common factor 39,47,703 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 36/39, 58/47, 66/703?
Answer: LCM of Numerators as per given numbers 36/39, 58/47, 66/703 is
LCM of Numerators i.e. for 36,58,66 is 11484
GCF of denominators i.e. for 39,47,703 is 1.
Thus, LCM of Fractions is 11484.Finally, LCM of Fractions for 36/39, 58/47, 66/703 is 11484.