Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 393/150, 206/856, 657/694 quickly i.e. 8864901 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 393/150, 206/856, 657/694 is 8864901.
LCM(393/150, 206/856, 657/694) = 8864901
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 393/150,206/856,657/694
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 393,206,657
Least Common Multiple of Numerators i.e. LCM of 393,206,657 is 17729802.
GCF of Denominators means GCF of 150,856,694 as per the given fractions.
GCF of 150,856,694 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 393,206,657
3 | 393, 206, 657 |
131, 206, 219 |
∴ So the LCM of the given numbers is 3 x 131 x 206 x 219 = 17729802
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 393,206,657 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(393,206,657) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(393,206,657) x common factors =1 x 3 = 3
LCM(393,206,657) = ( 393 × 206 × 657 ) / 3
LCM(393,206,657) = 53189406 / 3
LCM(393,206,657) = 17729802
Lets's calculate GCF of 150,856,694
2 | 150, 856, 694 |
75, 428, 347 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17729802/2
Therefore the LCM of Fractions 393/150,206/856,657/694 is 8864901
Factors of 150
List of positive integer factors of 150 that divides 150 without a remainder.
1,2,3,5,6,10,15,25,30,50,75,150
Factors of 856
List of positive integer factors of 856 that divides 856 without a remainder.
1,2,4,8,107,214,428,856
Factors of 694
List of positive integer factors of 694 that divides 694 without a remainder.
1,2,347,694
Greatest Common Factor
We found the factors 150,856,694 . The biggest common factor number is the GCF number.
So the greatest common factor 150,856,694 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 393/150, 206/856, 657/694?
Answer: LCM of Numerators as per given numbers 393/150, 206/856, 657/694 is
LCM of Numerators i.e. for 393,206,657 is 17729802
GCF of denominators i.e. for 150,856,694 is 2.
Thus, LCM of Fractions is 8864901.Finally, LCM of Fractions for 393/150, 206/856, 657/694 is 8864901.