Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9921/765, 2193/833 quickly i.e. 426603 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9921/765, 2193/833 is 426603.
LCM(9921/765, 2193/833) = 426603
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9921/765,2193/833
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 9921,2193
Least Common Multiple of Numerators i.e. LCM of 9921,2193 is 7252251.
GCF of Denominators means GCF of 765,833 as per the given fractions.
GCF of 765,833 is 17 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9921,2193
3 | 9921, 2193 |
3307, 731 |
∴ So the LCM of the given numbers is 3 x 3307 x 731 = 7252251
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 9921,2193 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9921,2193) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(9921,2193) x common factors =3 x 1 = 3
LCM(9921,2193) = ( 9921 × 2193 ) / 3
LCM(9921,2193) = 21756753 / 3
LCM(9921,2193) = 7252251
Lets's calculate GCF of 765,833
17 | 765, 833 |
45, 49 |
∴ So the GCF of the given numbers is 17 = 17
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7252251/17
Therefore the LCM of Fractions 9921/765,2193/833 is 426603
Factors of 765
List of positive integer factors of 765 that divides 765 without a remainder.
1,3,5,9,15,17,45,51,85,153,255,765
Factors of 833
List of positive integer factors of 833 that divides 833 without a remainder.
1,7,17,49,119,833
Greatest Common Factor
We found the factors 765,833 . The biggest common factor number is the GCF number.
So the greatest common factor 765,833 is 17.
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 9921/765, 2193/833?
Answer: LCM of Numerators as per given numbers 9921/765, 2193/833 is
LCM of Numerators i.e. for 9921,2193 is 7252251
GCF of denominators i.e. for 765,833 is 17.
Thus, LCM of Fractions is 426603.Finally, LCM of Fractions for 9921/765, 2193/833 is 426603.