Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 48/50, 93/13, 807/410 quickly i.e. 400272 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 48/50, 93/13, 807/410 is 400272.
LCM(48/50, 93/13, 807/410) = 400272
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 48/50,93/13,807/410
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 48,93,807
Least Common Multiple of Numerators i.e. LCM of 48,93,807 is 400272.
GCF of Denominators means GCF of 50,13,410 as per the given fractions.
GCF of 50,13,410 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 48,93,807
3 | 48, 93, 807 |
16, 31, 269 |
∴ So the LCM of the given numbers is 3 x 16 x 31 x 269 = 400272
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 48,93,807 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(48,93,807) = 3
common factors(in case of two or more numbers have common factors) = 3
GCF(48,93,807) x common factors =3 x 3 = 9
LCM(48,93,807) = ( 48 × 93 × 807 ) / 9
LCM(48,93,807) = 3602448 / 9
LCM(48,93,807) = 400272
Lets's calculate GCF of 50,13,410
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 400272/1
Therefore the LCM of Fractions 48/50,93/13,807/410 is 400272
Factors of 50
List of positive integer factors of 50 that divides 50 without a remainder.
1,2,5,10,25,50
Factors of 13
List of positive integer factors of 13 that divides 13 without a remainder.
1,13
Factors of 410
List of positive integer factors of 410 that divides 410 without a remainder.
1,2,5,10,41,82,205,410
Greatest Common Factor
We found the factors 50,13,410 . The biggest common factor number is the GCF number.
So the greatest common factor 50,13,410 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 48/50, 93/13, 807/410?
Answer: LCM of Numerators as per given numbers 48/50, 93/13, 807/410 is
LCM of Numerators i.e. for 48,93,807 is 400272
GCF of denominators i.e. for 50,13,410 is 1.
Thus, LCM of Fractions is 400272.Finally, LCM of Fractions for 48/50, 93/13, 807/410 is 400272.