Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 666/721, 137/235, 704/186 quickly i.e. 32117184 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 666/721, 137/235, 704/186 is 32117184.
LCM(666/721, 137/235, 704/186) = 32117184
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 666/721,137/235,704/186
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 666,137,704
Least Common Multiple of Numerators i.e. LCM of 666,137,704 is 32117184.
GCF of Denominators means GCF of 721,235,186 as per the given fractions.
GCF of 721,235,186 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 666,137,704
2 | 666, 137, 704 |
333, 137, 352 |
∴ So the LCM of the given numbers is 2 x 333 x 137 x 352 = 32117184
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 666,137,704 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(666,137,704) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(666,137,704) x common factors =1 x 2 = 2
LCM(666,137,704) = ( 666 × 137 × 704 ) / 2
LCM(666,137,704) = 64234368 / 2
LCM(666,137,704) = 32117184
Lets's calculate GCF of 721,235,186
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32117184/1
Therefore the LCM of Fractions 666/721,137/235,704/186 is 32117184
Factors of 721
List of positive integer factors of 721 that divides 721 without a remainder.
1,7,103,721
Factors of 235
List of positive integer factors of 235 that divides 235 without a remainder.
1,5,47,235
Factors of 186
List of positive integer factors of 186 that divides 186 without a remainder.
1,2,3,6,31,62,93,186
Greatest Common Factor
We found the factors 721,235,186 . The biggest common factor number is the GCF number.
So the greatest common factor 721,235,186 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 666/721, 137/235, 704/186?
Answer: LCM of Numerators as per given numbers 666/721, 137/235, 704/186 is
LCM of Numerators i.e. for 666,137,704 is 32117184
GCF of denominators i.e. for 721,235,186 is 1.
Thus, LCM of Fractions is 32117184.Finally, LCM of Fractions for 666/721, 137/235, 704/186 is 32117184.