Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4808/792, 6558/891 quickly i.e. 15765432/99 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4808/792, 6558/891 is 15765432/99.
LCM(4808/792, 6558/891) = 15765432/99
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4808/792,6558/891
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 4808,6558
Least Common Multiple of Numerators i.e. LCM of 4808,6558 is 15765432.
GCF of Denominators means GCF of 792,891 as per the given fractions.
GCF of 792,891 is 99 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4808,6558
2 | 4808, 6558 |
2404, 3279 |
∴ So the LCM of the given numbers is 2 x 2404 x 3279 = 15765432
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 4808,6558 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4808,6558) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(4808,6558) x common factors =2 x 1 = 2
LCM(4808,6558) = ( 4808 × 6558 ) / 2
LCM(4808,6558) = 31530864 / 2
LCM(4808,6558) = 15765432
Lets's calculate GCF of 792,891
3 | 792, 891 |
3 | 264, 297 |
11 | 88, 99 |
8, 9 |
∴ So the GCF of the given numbers is 3 x 3 x 11 = 99
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15765432/99
Therefore the LCM of Fractions 4808/792,6558/891 is 15765432/99
Factors of 792
List of positive integer factors of 792 that divides 792 without a remainder.
1,2,3,4,6,8,9,11,12,18,22,24,33,36,44,66,72,88,99,132,198,264,396,792
Factors of 891
List of positive integer factors of 891 that divides 891 without a remainder.
1,3,9,11,27,33,81,99,297,891
Greatest Common Factor
We found the factors 792,891 . The biggest common factor number is the GCF number.
So the greatest common factor 792,891 is 99.
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 4808/792, 6558/891?
Answer: LCM of Numerators as per given numbers 4808/792, 6558/891 is
LCM of Numerators i.e. for 4808,6558 is 15765432
GCF of denominators i.e. for 792,891 is 99.
Thus, LCM of Fractions is 15765432/99.Finally, LCM of Fractions for 4808/792, 6558/891 is 15765432/99.