Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8276/211, 3998/2027 quickly i.e. 16543724 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8276/211, 3998/2027 is 16543724.
LCM(8276/211, 3998/2027) = 16543724
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8276/211,3998/2027
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 8276,3998
Least Common Multiple of Numerators i.e. LCM of 8276,3998 is 16543724.
GCF of Denominators means GCF of 211,2027 as per the given fractions.
GCF of 211,2027 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8276,3998
2 | 8276, 3998 |
4138, 1999 |
∴ So the LCM of the given numbers is 2 x 4138 x 1999 = 16543724
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 8276,3998 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8276,3998) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(8276,3998) x common factors =2 x 1 = 2
LCM(8276,3998) = ( 8276 × 3998 ) / 2
LCM(8276,3998) = 33087448 / 2
LCM(8276,3998) = 16543724
Lets's calculate GCF of 211,2027
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16543724/1
Therefore the LCM of Fractions 8276/211,3998/2027 is 16543724
Factors of 211
List of positive integer factors of 211 that divides 211 without a remainder.
1,211
Factors of 2027
List of positive integer factors of 2027 that divides 2027 without a remainder.
1,2027
Greatest Common Factor
We found the factors 211,2027 . The biggest common factor number is the GCF number.
So the greatest common factor 211,2027 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 8276/211, 3998/2027?
Answer: LCM of Numerators as per given numbers 8276/211, 3998/2027 is
LCM of Numerators i.e. for 8276,3998 is 16543724
GCF of denominators i.e. for 211,2027 is 1.
Thus, LCM of Fractions is 16543724.Finally, LCM of Fractions for 8276/211, 3998/2027 is 16543724.