Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 401/190, 344/682, 857/641 quickly i.e. 118218008 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 401/190, 344/682, 857/641 is 118218008.
LCM(401/190, 344/682, 857/641) = 118218008
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 401/190,344/682,857/641
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 401,344,857
Least Common Multiple of Numerators i.e. LCM of 401,344,857 is 118218008.
GCF of Denominators means GCF of 190,682,641 as per the given fractions.
GCF of 190,682,641 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 401,344,857
Given numbers has no common factors except 1. So, there LCM is their product i.e 118218008
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 401,344,857 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(401,344,857) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(401,344,857) x common factors =1 x 1 = 1
LCM(401,344,857) = ( 401 × 344 × 857 ) / 1
LCM(401,344,857) = 118218008 / 1
LCM(401,344,857) = 118218008
Lets's calculate GCF of 190,682,641
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 118218008/1
Therefore the LCM of Fractions 401/190,344/682,857/641 is 118218008
Factors of 190
List of positive integer factors of 190 that divides 190 without a remainder.
1,2,5,10,19,38,95,190
Factors of 682
List of positive integer factors of 682 that divides 682 without a remainder.
1,2,11,22,31,62,341,682
Factors of 641
List of positive integer factors of 641 that divides 641 without a remainder.
1,641
Greatest Common Factor
We found the factors 190,682,641 . The biggest common factor number is the GCF number.
So the greatest common factor 190,682,641 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 401/190, 344/682, 857/641?
Answer: LCM of Numerators as per given numbers 401/190, 344/682, 857/641 is
LCM of Numerators i.e. for 401,344,857 is 118218008
GCF of denominators i.e. for 190,682,641 is 1.
Thus, LCM of Fractions is 118218008.Finally, LCM of Fractions for 401/190, 344/682, 857/641 is 118218008.