Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9801/833, 3286/3550 quickly i.e. 32206086 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9801/833, 3286/3550 is 32206086.
LCM(9801/833, 3286/3550) = 32206086
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9801/833,3286/3550
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 9801,3286
Least Common Multiple of Numerators i.e. LCM of 9801,3286 is 32206086.
GCF of Denominators means GCF of 833,3550 as per the given fractions.
GCF of 833,3550 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9801,3286
Given numbers has no common factors except 1. So, there LCM is their product i.e 32206086
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 9801,3286 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9801,3286) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9801,3286) x common factors =1 x 1 = 1
LCM(9801,3286) = ( 9801 × 3286 ) / 1
LCM(9801,3286) = 32206086 / 1
LCM(9801,3286) = 32206086
Lets's calculate GCF of 833,3550
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32206086/1
Therefore the LCM of Fractions 9801/833,3286/3550 is 32206086
Factors of 833
List of positive integer factors of 833 that divides 833 without a remainder.
1,7,17,49,119,833
Factors of 3550
List of positive integer factors of 3550 that divides 3550 without a remainder.
1,2,5,10,25,50,71,142,355,710,1775,3550
Greatest Common Factor
We found the factors 833,3550 . The biggest common factor number is the GCF number.
So the greatest common factor 833,3550 is 1.
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 9801/833, 3286/3550?
Answer: LCM of Numerators as per given numbers 9801/833, 3286/3550 is
LCM of Numerators i.e. for 9801,3286 is 32206086
GCF of denominators i.e. for 833,3550 is 1.
Thus, LCM of Fractions is 32206086.Finally, LCM of Fractions for 9801/833, 3286/3550 is 32206086.