Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 91/639, 9195/9573 quickly i.e. 278915 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 91/639, 9195/9573 is 278915.
LCM(91/639, 9195/9573) = 278915
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 91/639,9195/9573
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 91,9195
Least Common Multiple of Numerators i.e. LCM of 91,9195 is 836745.
GCF of Denominators means GCF of 639,9573 as per the given fractions.
GCF of 639,9573 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 91,9195
Given numbers has no common factors except 1. So, there LCM is their product i.e 836745
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 91,9195 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(91,9195) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(91,9195) x common factors =1 x 1 = 1
LCM(91,9195) = ( 91 × 9195 ) / 1
LCM(91,9195) = 836745 / 1
LCM(91,9195) = 836745
Lets's calculate GCF of 639,9573
3 | 639, 9573 |
213, 3191 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 836745/3
Therefore the LCM of Fractions 91/639,9195/9573 is 278915
Factors of 639
List of positive integer factors of 639 that divides 639 without a remainder.
1,3,9,71,213,639
Factors of 9573
List of positive integer factors of 9573 that divides 9573 without a remainder.
1,3,3191,9573
Greatest Common Factor
We found the factors 639,9573 . The biggest common factor number is the GCF number.
So the greatest common factor 639,9573 is 3.
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 91/639, 9195/9573?
Answer: LCM of Numerators as per given numbers 91/639, 9195/9573 is
LCM of Numerators i.e. for 91,9195 is 836745
GCF of denominators i.e. for 639,9573 is 3.
Thus, LCM of Fractions is 278915.Finally, LCM of Fractions for 91/639, 9195/9573 is 278915.