Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7468/880, 8193/6848 quickly i.e. 61185324/16 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7468/880, 8193/6848 is 61185324/16.
LCM(7468/880, 8193/6848) = 61185324/16
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7468/880,8193/6848
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 7468,8193
Least Common Multiple of Numerators i.e. LCM of 7468,8193 is 61185324.
GCF of Denominators means GCF of 880,6848 as per the given fractions.
GCF of 880,6848 is 16 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7468,8193
Given numbers has no common factors except 1. So, there LCM is their product i.e 61185324
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 7468,8193 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7468,8193) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7468,8193) x common factors =1 x 1 = 1
LCM(7468,8193) = ( 7468 × 8193 ) / 1
LCM(7468,8193) = 61185324 / 1
LCM(7468,8193) = 61185324
Lets's calculate GCF of 880,6848
2 | 880, 6848 |
2 | 440, 3424 |
2 | 220, 1712 |
2 | 110, 856 |
55, 428 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 61185324/16
Therefore the LCM of Fractions 7468/880,8193/6848 is 61185324/16
Factors of 880
List of positive integer factors of 880 that divides 880 without a remainder.
1,2,4,5,8,10,11,16,20,22,40,44,55,80,88,110,176,220,440,880
Factors of 6848
List of positive integer factors of 6848 that divides 6848 without a remainder.
1,2,4,8,16,32,64,107,214,428,856,1712,3424,6848
Greatest Common Factor
We found the factors 880,6848 . The biggest common factor number is the GCF number.
So the greatest common factor 880,6848 is 16.
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 7468/880, 8193/6848?
Answer: LCM of Numerators as per given numbers 7468/880, 8193/6848 is
LCM of Numerators i.e. for 7468,8193 is 61185324
GCF of denominators i.e. for 880,6848 is 16.
Thus, LCM of Fractions is 61185324/16.Finally, LCM of Fractions for 7468/880, 8193/6848 is 61185324/16.