Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 36/863, 594/197, 393/938 quickly i.e. 155628 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 36/863, 594/197, 393/938 is 155628.
LCM(36/863, 594/197, 393/938) = 155628
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 36/863,594/197,393/938
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 36,594,393
Least Common Multiple of Numerators i.e. LCM of 36,594,393 is 155628.
GCF of Denominators means GCF of 863,197,938 as per the given fractions.
GCF of 863,197,938 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 36,594,393
2 | 36, 594, 393 |
3 | 18, 297, 393 |
3 | 6, 99, 131 |
2, 33, 131 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 2 x 33 x 131 = 155628
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 36,594,393 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(36,594,393) = 3
common factors(in case of two or more numbers have common factors) = 18
GCF(36,594,393) x common factors =3 x 18 = 54
LCM(36,594,393) = ( 36 × 594 × 393 ) / 54
LCM(36,594,393) = 8403912 / 54
LCM(36,594,393) = 155628
Lets's calculate GCF of 863,197,938
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 155628/1
Therefore the LCM of Fractions 36/863,594/197,393/938 is 155628
Factors of 863
List of positive integer factors of 863 that divides 863 without a remainder.
1,863
Factors of 197
List of positive integer factors of 197 that divides 197 without a remainder.
1,197
Factors of 938
List of positive integer factors of 938 that divides 938 without a remainder.
1,2,7,14,67,134,469,938
Greatest Common Factor
We found the factors 863,197,938 . The biggest common factor number is the GCF number.
So the greatest common factor 863,197,938 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 36/863, 594/197, 393/938?
Answer: LCM of Numerators as per given numbers 36/863, 594/197, 393/938 is
LCM of Numerators i.e. for 36,594,393 is 155628
GCF of denominators i.e. for 863,197,938 is 1.
Thus, LCM of Fractions is 155628.Finally, LCM of Fractions for 36/863, 594/197, 393/938 is 155628.