Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 116/550, 7760/9325 quickly i.e. 225040/25 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 116/550, 7760/9325 is 225040/25.
LCM(116/550, 7760/9325) = 225040/25
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 116/550,7760/9325
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 116,7760
Least Common Multiple of Numerators i.e. LCM of 116,7760 is 225040.
GCF of Denominators means GCF of 550,9325 as per the given fractions.
GCF of 550,9325 is 25 as it is the largest common factor for these numbers.
Lets's calculate LCM of 116,7760
2 | 116, 7760 |
2 | 58, 3880 |
29, 1940 |
∴ So the LCM of the given numbers is 2 x 2 x 29 x 1940 = 225040
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 116,7760 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(116,7760) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(116,7760) x common factors =4 x 1 = 4
LCM(116,7760) = ( 116 × 7760 ) / 4
LCM(116,7760) = 900160 / 4
LCM(116,7760) = 225040
Lets's calculate GCF of 550,9325
5 | 550, 9325 |
5 | 110, 1865 |
22, 373 |
∴ So the GCF of the given numbers is 5 x 5 = 25
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 225040/25
Therefore the LCM of Fractions 116/550,7760/9325 is 225040/25
Factors of 550
List of positive integer factors of 550 that divides 550 without a remainder.
1,2,5,10,11,22,25,50,55,110,275,550
Factors of 9325
List of positive integer factors of 9325 that divides 9325 without a remainder.
1,5,25,373,1865,9325
Greatest Common Factor
We found the factors 550,9325 . The biggest common factor number is the GCF number.
So the greatest common factor 550,9325 is 25.
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 116/550, 7760/9325?
Answer: LCM of Numerators as per given numbers 116/550, 7760/9325 is
LCM of Numerators i.e. for 116,7760 is 225040
GCF of denominators i.e. for 550,9325 is 25.
Thus, LCM of Fractions is 225040/25.Finally, LCM of Fractions for 116/550, 7760/9325 is 225040/25.