Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 10/659, 159/589, 853/170 quickly i.e. 1356270 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 10/659, 159/589, 853/170 is 1356270.
LCM(10/659, 159/589, 853/170) = 1356270
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 10/659,159/589,853/170
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 10,159,853
Least Common Multiple of Numerators i.e. LCM of 10,159,853 is 1356270.
GCF of Denominators means GCF of 659,589,170 as per the given fractions.
GCF of 659,589,170 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 10,159,853
Given numbers has no common factors except 1. So, there LCM is their product i.e 1356270
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 10,159,853 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(10,159,853) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(10,159,853) x common factors =1 x 1 = 1
LCM(10,159,853) = ( 10 × 159 × 853 ) / 1
LCM(10,159,853) = 1356270 / 1
LCM(10,159,853) = 1356270
Lets's calculate GCF of 659,589,170
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1356270/1
Therefore the LCM of Fractions 10/659,159/589,853/170 is 1356270
Factors of 659
List of positive integer factors of 659 that divides 659 without a remainder.
1,659
Factors of 589
List of positive integer factors of 589 that divides 589 without a remainder.
1,19,31,589
Factors of 170
List of positive integer factors of 170 that divides 170 without a remainder.
1,2,5,10,17,34,85,170
Greatest Common Factor
We found the factors 659,589,170 . The biggest common factor number is the GCF number.
So the greatest common factor 659,589,170 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 10/659, 159/589, 853/170?
Answer: LCM of Numerators as per given numbers 10/659, 159/589, 853/170 is
LCM of Numerators i.e. for 10,159,853 is 1356270
GCF of denominators i.e. for 659,589,170 is 1.
Thus, LCM of Fractions is 1356270.Finally, LCM of Fractions for 10/659, 159/589, 853/170 is 1356270.