Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 937/238, 798/388, 931/582 quickly i.e. 2617041 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 937/238, 798/388, 931/582 is 2617041.
LCM(937/238, 798/388, 931/582) = 2617041
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 937/238,798/388,931/582
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 937,798,931
Least Common Multiple of Numerators i.e. LCM of 937,798,931 is 5234082.
GCF of Denominators means GCF of 238,388,582 as per the given fractions.
GCF of 238,388,582 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 937,798,931
7 | 937, 798, 931 |
19 | 937, 114, 133 |
937, 6, 7 |
∴ So the LCM of the given numbers is 7 x 19 x 937 x 6 x 7 = 5234082
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 937,798,931 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(937,798,931) = 1
common factors(in case of two or more numbers have common factors) = 133
GCF(937,798,931) x common factors =1 x 133 = 133
LCM(937,798,931) = ( 937 × 798 × 931 ) / 133
LCM(937,798,931) = 696132906 / 133
LCM(937,798,931) = 5234082
Lets's calculate GCF of 238,388,582
2 | 238, 388, 582 |
119, 194, 291 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5234082/2
Therefore the LCM of Fractions 937/238,798/388,931/582 is 2617041
Factors of 238
List of positive integer factors of 238 that divides 238 without a remainder.
1,2,7,14,17,34,119,238
Factors of 388
List of positive integer factors of 388 that divides 388 without a remainder.
1,2,4,97,194,388
Factors of 582
List of positive integer factors of 582 that divides 582 without a remainder.
1,2,3,6,97,194,291,582
Greatest Common Factor
We found the factors 238,388,582 . The biggest common factor number is the GCF number.
So the greatest common factor 238,388,582 is 2.
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 937/238, 798/388, 931/582?
Answer: LCM of Numerators as per given numbers 937/238, 798/388, 931/582 is
LCM of Numerators i.e. for 937,798,931 is 5234082
GCF of denominators i.e. for 238,388,582 is 2.
Thus, LCM of Fractions is 2617041.Finally, LCM of Fractions for 937/238, 798/388, 931/582 is 2617041.