Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7776/410, 4050/244 quickly i.e. 97200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7776/410, 4050/244 is 97200.
LCM(7776/410, 4050/244) = 97200
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7776/410,4050/244
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 7776,4050
Least Common Multiple of Numerators i.e. LCM of 7776,4050 is 194400.
GCF of Denominators means GCF of 410,244 as per the given fractions.
GCF of 410,244 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7776,4050
2 | 7776, 4050 |
3 | 3888, 2025 |
3 | 1296, 675 |
3 | 432, 225 |
3 | 144, 75 |
48, 25 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 3 x 48 x 25 = 194400
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 7776,4050 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7776,4050) = 162
common factors(in case of two or more numbers have common factors) = 1
GCF(7776,4050) x common factors =162 x 1 = 162
LCM(7776,4050) = ( 7776 × 4050 ) / 162
LCM(7776,4050) = 31492800 / 162
LCM(7776,4050) = 194400
Lets's calculate GCF of 410,244
2 | 410, 244 |
205, 122 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 194400/2
Therefore the LCM of Fractions 7776/410,4050/244 is 97200
Factors of 410
List of positive integer factors of 410 that divides 410 without a remainder.
1,2,5,10,41,82,205,410
Factors of 244
List of positive integer factors of 244 that divides 244 without a remainder.
1,2,4,61,122,244
Greatest Common Factor
We found the factors 410,244 . The biggest common factor number is the GCF number.
So the greatest common factor 410,244 is 2.
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 7776/410, 4050/244?
Answer: LCM of Numerators as per given numbers 7776/410, 4050/244 is
LCM of Numerators i.e. for 7776,4050 is 194400
GCF of denominators i.e. for 410,244 is 2.
Thus, LCM of Fractions is 97200.Finally, LCM of Fractions for 7776/410, 4050/244 is 97200.