Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 195/808, 909/707, 410/657 quickly i.e. 4844970 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 195/808, 909/707, 410/657 is 4844970.
LCM(195/808, 909/707, 410/657) = 4844970
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 195/808,909/707,410/657
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 195,909,410
Least Common Multiple of Numerators i.e. LCM of 195,909,410 is 4844970.
GCF of Denominators means GCF of 808,707,657 as per the given fractions.
GCF of 808,707,657 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 195,909,410
3 | 195, 909, 410 |
5 | 65, 303, 410 |
13, 303, 82 |
∴ So the LCM of the given numbers is 3 x 5 x 13 x 303 x 82 = 4844970
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 195,909,410 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(195,909,410) = 1
common factors(in case of two or more numbers have common factors) = 15
GCF(195,909,410) x common factors =1 x 15 = 15
LCM(195,909,410) = ( 195 × 909 × 410 ) / 15
LCM(195,909,410) = 72674550 / 15
LCM(195,909,410) = 4844970
Lets's calculate GCF of 808,707,657
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4844970/1
Therefore the LCM of Fractions 195/808,909/707,410/657 is 4844970
Factors of 808
List of positive integer factors of 808 that divides 808 without a remainder.
1,2,4,8,101,202,404,808
Factors of 707
List of positive integer factors of 707 that divides 707 without a remainder.
1,7,101,707
Factors of 657
List of positive integer factors of 657 that divides 657 without a remainder.
1,3,9,73,219,657
Greatest Common Factor
We found the factors 808,707,657 . The biggest common factor number is the GCF number.
So the greatest common factor 808,707,657 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 195/808, 909/707, 410/657?
Answer: LCM of Numerators as per given numbers 195/808, 909/707, 410/657 is
LCM of Numerators i.e. for 195,909,410 is 4844970
GCF of denominators i.e. for 808,707,657 is 1.
Thus, LCM of Fractions is 4844970.Finally, LCM of Fractions for 195/808, 909/707, 410/657 is 4844970.