Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 806/635, 412/199, 314/708 quickly i.e. 26067652 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 806/635, 412/199, 314/708 is 26067652.
LCM(806/635, 412/199, 314/708) = 26067652
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 806/635,412/199,314/708
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 806,412,314
Least Common Multiple of Numerators i.e. LCM of 806,412,314 is 26067652.
GCF of Denominators means GCF of 635,199,708 as per the given fractions.
GCF of 635,199,708 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 806,412,314
2 | 806, 412, 314 |
403, 206, 157 |
∴ So the LCM of the given numbers is 2 x 403 x 206 x 157 = 26067652
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 806,412,314 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(806,412,314) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(806,412,314) x common factors =2 x 2 = 4
LCM(806,412,314) = ( 806 × 412 × 314 ) / 4
LCM(806,412,314) = 104270608 / 4
LCM(806,412,314) = 26067652
Lets's calculate GCF of 635,199,708
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26067652/1
Therefore the LCM of Fractions 806/635,412/199,314/708 is 26067652
Factors of 635
List of positive integer factors of 635 that divides 635 without a remainder.
1,5,127,635
Factors of 199
List of positive integer factors of 199 that divides 199 without a remainder.
1,199
Factors of 708
List of positive integer factors of 708 that divides 708 without a remainder.
1,2,3,4,6,12,59,118,177,236,354,708
Greatest Common Factor
We found the factors 635,199,708 . The biggest common factor number is the GCF number.
So the greatest common factor 635,199,708 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 806/635, 412/199, 314/708?
Answer: LCM of Numerators as per given numbers 806/635, 412/199, 314/708 is
LCM of Numerators i.e. for 806,412,314 is 26067652
GCF of denominators i.e. for 635,199,708 is 1.
Thus, LCM of Fractions is 26067652.Finally, LCM of Fractions for 806/635, 412/199, 314/708 is 26067652.