Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 48/339, 201/997, 528/266 quickly i.e. 35376 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 48/339, 201/997, 528/266 is 35376.
LCM(48/339, 201/997, 528/266) = 35376
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 48/339,201/997,528/266
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 48,201,528
Least Common Multiple of Numerators i.e. LCM of 48,201,528 is 35376.
GCF of Denominators means GCF of 339,997,266 as per the given fractions.
GCF of 339,997,266 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 48,201,528
2 | 48, 201, 528 |
2 | 24, 201, 264 |
2 | 12, 201, 132 |
2 | 6, 201, 66 |
3 | 3, 201, 33 |
1, 67, 11 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 1 x 67 x 11 = 35376
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 48,201,528 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(48,201,528) = 3
common factors(in case of two or more numbers have common factors) = 48
GCF(48,201,528) x common factors =3 x 48 = 144
LCM(48,201,528) = ( 48 × 201 × 528 ) / 144
LCM(48,201,528) = 5094144 / 144
LCM(48,201,528) = 35376
Lets's calculate GCF of 339,997,266
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35376/1
Therefore the LCM of Fractions 48/339,201/997,528/266 is 35376
Factors of 339
List of positive integer factors of 339 that divides 339 without a remainder.
1,3,113,339
Factors of 997
List of positive integer factors of 997 that divides 997 without a remainder.
1,997
Factors of 266
List of positive integer factors of 266 that divides 266 without a remainder.
1,2,7,14,19,38,133,266
Greatest Common Factor
We found the factors 339,997,266 . The biggest common factor number is the GCF number.
So the greatest common factor 339,997,266 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 48/339, 201/997, 528/266?
Answer: LCM of Numerators as per given numbers 48/339, 201/997, 528/266 is
LCM of Numerators i.e. for 48,201,528 is 35376
GCF of denominators i.e. for 339,997,266 is 1.
Thus, LCM of Fractions is 35376.Finally, LCM of Fractions for 48/339, 201/997, 528/266 is 35376.