Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 939/62, 742/23, 186/481 quickly i.e. 21598878 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 939/62, 742/23, 186/481 is 21598878.
LCM(939/62, 742/23, 186/481) = 21598878
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 939/62,742/23,186/481
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 939,742,186
Least Common Multiple of Numerators i.e. LCM of 939,742,186 is 21598878.
GCF of Denominators means GCF of 62,23,481 as per the given fractions.
GCF of 62,23,481 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 939,742,186
2 | 939, 742, 186 |
3 | 939, 371, 93 |
313, 371, 31 |
∴ So the LCM of the given numbers is 2 x 3 x 313 x 371 x 31 = 21598878
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 939,742,186 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(939,742,186) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(939,742,186) x common factors =1 x 6 = 6
LCM(939,742,186) = ( 939 × 742 × 186 ) / 6
LCM(939,742,186) = 129593268 / 6
LCM(939,742,186) = 21598878
Lets's calculate GCF of 62,23,481
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21598878/1
Therefore the LCM of Fractions 939/62,742/23,186/481 is 21598878
Factors of 62
List of positive integer factors of 62 that divides 62 without a remainder.
1,2,31,62
Factors of 23
List of positive integer factors of 23 that divides 23 without a remainder.
1,23
Factors of 481
List of positive integer factors of 481 that divides 481 without a remainder.
1,13,37,481
Greatest Common Factor
We found the factors 62,23,481 . The biggest common factor number is the GCF number.
So the greatest common factor 62,23,481 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 939/62, 742/23, 186/481?
Answer: LCM of Numerators as per given numbers 939/62, 742/23, 186/481 is
LCM of Numerators i.e. for 939,742,186 is 21598878
GCF of denominators i.e. for 62,23,481 is 1.
Thus, LCM of Fractions is 21598878.Finally, LCM of Fractions for 939/62, 742/23, 186/481 is 21598878.