Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 208/15, 338/8251 quickly i.e. 2704 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 208/15, 338/8251 is 2704.
LCM(208/15, 338/8251) = 2704
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 208/15,338/8251
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 208,338
Least Common Multiple of Numerators i.e. LCM of 208,338 is 2704.
GCF of Denominators means GCF of 15,8251 as per the given fractions.
GCF of 15,8251 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 208,338
2 | 208, 338 |
13 | 104, 169 |
8, 13 |
∴ So the LCM of the given numbers is 2 x 13 x 8 x 13 = 2704
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 208,338 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(208,338) = 26
common factors(in case of two or more numbers have common factors) = 1
GCF(208,338) x common factors =26 x 1 = 26
LCM(208,338) = ( 208 × 338 ) / 26
LCM(208,338) = 70304 / 26
LCM(208,338) = 2704
Lets's calculate GCF of 15,8251
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2704/1
Therefore the LCM of Fractions 208/15,338/8251 is 2704
Factors of 15
List of positive integer factors of 15 that divides 15 without a remainder.
1,3,5,15
Factors of 8251
List of positive integer factors of 8251 that divides 8251 without a remainder.
1,37,223,8251
Greatest Common Factor
We found the factors 15,8251 . The biggest common factor number is the GCF number.
So the greatest common factor 15,8251 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 208/15, 338/8251?
Answer: LCM of Numerators as per given numbers 208/15, 338/8251 is
LCM of Numerators i.e. for 208,338 is 2704
GCF of denominators i.e. for 15,8251 is 1.
Thus, LCM of Fractions is 2704.Finally, LCM of Fractions for 208/15, 338/8251 is 2704.