Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2448/150, 8277/391 quickly i.e. 6754032 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2448/150, 8277/391 is 6754032.
LCM(2448/150, 8277/391) = 6754032
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2448/150,8277/391
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 2448,8277
Least Common Multiple of Numerators i.e. LCM of 2448,8277 is 6754032.
GCF of Denominators means GCF of 150,391 as per the given fractions.
GCF of 150,391 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2448,8277
3 | 2448, 8277 |
816, 2759 |
∴ So the LCM of the given numbers is 3 x 816 x 2759 = 6754032
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 2448,8277 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2448,8277) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(2448,8277) x common factors =3 x 1 = 3
LCM(2448,8277) = ( 2448 × 8277 ) / 3
LCM(2448,8277) = 20262096 / 3
LCM(2448,8277) = 6754032
Lets's calculate GCF of 150,391
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6754032/1
Therefore the LCM of Fractions 2448/150,8277/391 is 6754032
Factors of 150
List of positive integer factors of 150 that divides 150 without a remainder.
1,2,3,5,6,10,15,25,30,50,75,150
Factors of 391
List of positive integer factors of 391 that divides 391 without a remainder.
1,17,23,391
Greatest Common Factor
We found the factors 150,391 . The biggest common factor number is the GCF number.
So the greatest common factor 150,391 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 2448/150, 8277/391?
Answer: LCM of Numerators as per given numbers 2448/150, 8277/391 is
LCM of Numerators i.e. for 2448,8277 is 6754032
GCF of denominators i.e. for 150,391 is 1.
Thus, LCM of Fractions is 6754032.Finally, LCM of Fractions for 2448/150, 8277/391 is 6754032.