Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9860/792, 6273/5572 quickly i.e. 909585 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9860/792, 6273/5572 is 909585.
LCM(9860/792, 6273/5572) = 909585
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9860/792,6273/5572
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 9860,6273
Least Common Multiple of Numerators i.e. LCM of 9860,6273 is 3638340.
GCF of Denominators means GCF of 792,5572 as per the given fractions.
GCF of 792,5572 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9860,6273
17 | 9860, 6273 |
580, 369 |
∴ So the LCM of the given numbers is 17 x 580 x 369 = 3638340
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 9860,6273 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9860,6273) = 17
common factors(in case of two or more numbers have common factors) = 1
GCF(9860,6273) x common factors =17 x 1 = 17
LCM(9860,6273) = ( 9860 × 6273 ) / 17
LCM(9860,6273) = 61851780 / 17
LCM(9860,6273) = 3638340
Lets's calculate GCF of 792,5572
2 | 792, 5572 |
2 | 396, 2786 |
198, 1393 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3638340/4
Therefore the LCM of Fractions 9860/792,6273/5572 is 909585
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 5572
List of positive integer factors of 5572 that divides 5572 without a remainder.
1,2,4,7,14,28,199,398,796,1393,2786,5572
Greatest Common Factor
We found the factors 792,5572 . The biggest common factor number is the GCF number.
So the greatest common factor 792,5572 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 9860/792, 6273/5572?
Answer: LCM of Numerators as per given numbers 9860/792, 6273/5572 is
LCM of Numerators i.e. for 9860,6273 is 3638340
GCF of denominators i.e. for 792,5572 is 4.
Thus, LCM of Fractions is 909585.Finally, LCM of Fractions for 9860/792, 6273/5572 is 909585.