Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 38/37, 98/246, 656/683 quickly i.e. 610736 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 38/37, 98/246, 656/683 is 610736.
LCM(38/37, 98/246, 656/683) = 610736
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 38/37,98/246,656/683
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 38,98,656
Least Common Multiple of Numerators i.e. LCM of 38,98,656 is 610736.
GCF of Denominators means GCF of 37,246,683 as per the given fractions.
GCF of 37,246,683 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 38,98,656
2 | 38, 98, 656 |
19, 49, 328 |
∴ So the LCM of the given numbers is 2 x 19 x 49 x 328 = 610736
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 38,98,656 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(38,98,656) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(38,98,656) x common factors =2 x 2 = 4
LCM(38,98,656) = ( 38 × 98 × 656 ) / 4
LCM(38,98,656) = 2442944 / 4
LCM(38,98,656) = 610736
Lets's calculate GCF of 37,246,683
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 610736/1
Therefore the LCM of Fractions 38/37,98/246,656/683 is 610736
Factors of 37
List of positive integer factors of 37 that divides 37 without a remainder.
1,37
Factors of 246
List of positive integer factors of 246 that divides 246 without a remainder.
1,2,3,6,41,82,123,246
Factors of 683
List of positive integer factors of 683 that divides 683 without a remainder.
1,683
Greatest Common Factor
We found the factors 37,246,683 . The biggest common factor number is the GCF number.
So the greatest common factor 37,246,683 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 38/37, 98/246, 656/683?
Answer: LCM of Numerators as per given numbers 38/37, 98/246, 656/683 is
LCM of Numerators i.e. for 38,98,656 is 610736
GCF of denominators i.e. for 37,246,683 is 1.
Thus, LCM of Fractions is 610736.Finally, LCM of Fractions for 38/37, 98/246, 656/683 is 610736.