Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 68/37, 576/54, 371/606 quickly i.e. 3632832 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 68/37, 576/54, 371/606 is 3632832.
LCM(68/37, 576/54, 371/606) = 3632832
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 68/37,576/54,371/606
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 68,576,371
Least Common Multiple of Numerators i.e. LCM of 68,576,371 is 3632832.
GCF of Denominators means GCF of 37,54,606 as per the given fractions.
GCF of 37,54,606 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 68,576,371
2 | 68, 576, 371 |
2 | 34, 288, 371 |
17, 144, 371 |
∴ So the LCM of the given numbers is 2 x 2 x 17 x 144 x 371 = 3632832
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 68,576,371 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(68,576,371) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(68,576,371) x common factors =1 x 4 = 4
LCM(68,576,371) = ( 68 × 576 × 371 ) / 4
LCM(68,576,371) = 14531328 / 4
LCM(68,576,371) = 3632832
Lets's calculate GCF of 37,54,606
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3632832/1
Therefore the LCM of Fractions 68/37,576/54,371/606 is 3632832
Factors of 37
List of positive integer factors of 37 that divides 37 without a remainder.
1,37
Factors of 54
List of positive integer factors of 54 that divides 54 without a remainder.
1,2,3,6,9,18,27,54
Factors of 606
List of positive integer factors of 606 that divides 606 without a remainder.
1,2,3,6,101,202,303,606
Greatest Common Factor
We found the factors 37,54,606 . The biggest common factor number is the GCF number.
So the greatest common factor 37,54,606 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 68/37, 576/54, 371/606?
Answer: LCM of Numerators as per given numbers 68/37, 576/54, 371/606 is
LCM of Numerators i.e. for 68,576,371 is 3632832
GCF of denominators i.e. for 37,54,606 is 1.
Thus, LCM of Fractions is 3632832.Finally, LCM of Fractions for 68/37, 576/54, 371/606 is 3632832.