Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9132/80, 7720/628 quickly i.e. 4406190 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9132/80, 7720/628 is 4406190.
LCM(9132/80, 7720/628) = 4406190
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9132/80,7720/628
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 9132,7720
Least Common Multiple of Numerators i.e. LCM of 9132,7720 is 17624760.
GCF of Denominators means GCF of 80,628 as per the given fractions.
GCF of 80,628 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9132,7720
2 | 9132, 7720 |
2 | 4566, 3860 |
2283, 1930 |
∴ So the LCM of the given numbers is 2 x 2 x 2283 x 1930 = 17624760
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 9132,7720 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9132,7720) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(9132,7720) x common factors =4 x 1 = 4
LCM(9132,7720) = ( 9132 × 7720 ) / 4
LCM(9132,7720) = 70499040 / 4
LCM(9132,7720) = 17624760
Lets's calculate GCF of 80,628
2 | 80, 628 |
2 | 40, 314 |
20, 157 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17624760/4
Therefore the LCM of Fractions 9132/80,7720/628 is 4406190
Factors of 80
List of positive integer factors of 80 that divides 80 without a remainder.
1,2,4,5,8,10,16,20,40,80
Factors of 628
List of positive integer factors of 628 that divides 628 without a remainder.
1,2,4,157,314,628
Greatest Common Factor
We found the factors 80,628 . The biggest common factor number is the GCF number.
So the greatest common factor 80,628 is 4.
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 9132/80, 7720/628?
Answer: LCM of Numerators as per given numbers 9132/80, 7720/628 is
LCM of Numerators i.e. for 9132,7720 is 17624760
GCF of denominators i.e. for 80,628 is 4.
Thus, LCM of Fractions is 4406190.Finally, LCM of Fractions for 9132/80, 7720/628 is 4406190.