Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 159/34, 208/1250 quickly i.e. 16536 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 159/34, 208/1250 is 16536.
LCM(159/34, 208/1250) = 16536
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 159/34,208/1250
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 159,208
Least Common Multiple of Numerators i.e. LCM of 159,208 is 33072.
GCF of Denominators means GCF of 34,1250 as per the given fractions.
GCF of 34,1250 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 159,208
Given numbers has no common factors except 1. So, there LCM is their product i.e 33072
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 159,208 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(159,208) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(159,208) x common factors =1 x 1 = 1
LCM(159,208) = ( 159 × 208 ) / 1
LCM(159,208) = 33072 / 1
LCM(159,208) = 33072
Lets's calculate GCF of 34,1250
2 | 34, 1250 |
17, 625 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33072/2
Therefore the LCM of Fractions 159/34,208/1250 is 16536
Factors of 34
List of positive integer factors of 34 that divides 34 without a remainder.
1,2,17,34
Factors of 1250
List of positive integer factors of 1250 that divides 1250 without a remainder.
1,2,5,10,25,50,125,250,625,1250
Greatest Common Factor
We found the factors 34,1250 . The biggest common factor number is the GCF number.
So the greatest common factor 34,1250 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 159/34, 208/1250?
Answer: LCM of Numerators as per given numbers 159/34, 208/1250 is
LCM of Numerators i.e. for 159,208 is 33072
GCF of denominators i.e. for 34,1250 is 2.
Thus, LCM of Fractions is 16536.Finally, LCM of Fractions for 159/34, 208/1250 is 16536.