Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 887/242, 9756/6303 quickly i.e. 8653572/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 887/242, 9756/6303 is 8653572/11.
LCM(887/242, 9756/6303) = 8653572/11
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 887/242,9756/6303
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 887,9756
Least Common Multiple of Numerators i.e. LCM of 887,9756 is 8653572.
GCF of Denominators means GCF of 242,6303 as per the given fractions.
GCF of 242,6303 is 11 as it is the largest common factor for these numbers.
Lets's calculate LCM of 887,9756
Given numbers has no common factors except 1. So, there LCM is their product i.e 8653572
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 887,9756 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(887,9756) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(887,9756) x common factors =1 x 1 = 1
LCM(887,9756) = ( 887 × 9756 ) / 1
LCM(887,9756) = 8653572 / 1
LCM(887,9756) = 8653572
Lets's calculate GCF of 242,6303
11 | 242, 6303 |
22, 573 |
∴ So the GCF of the given numbers is 11 = 11
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8653572/11
Therefore the LCM of Fractions 887/242,9756/6303 is 8653572/11
Factors of 242
List of positive integer factors of 242 that divides 242 without a remainder.
1,2,11,22,121,242
Factors of 6303
List of positive integer factors of 6303 that divides 6303 without a remainder.
1,3,11,33,191,573,2101,6303
Greatest Common Factor
We found the factors 242,6303 . The biggest common factor number is the GCF number.
So the greatest common factor 242,6303 is 11.
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 887/242, 9756/6303?
Answer: LCM of Numerators as per given numbers 887/242, 9756/6303 is
LCM of Numerators i.e. for 887,9756 is 8653572
GCF of denominators i.e. for 242,6303 is 11.
Thus, LCM of Fractions is 8653572/11.Finally, LCM of Fractions for 887/242, 9756/6303 is 8653572/11.