Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9207/957, 2853/576 quickly i.e. 972873 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9207/957, 2853/576 is 972873.
LCM(9207/957, 2853/576) = 972873
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9207/957,2853/576
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 9207,2853
Least Common Multiple of Numerators i.e. LCM of 9207,2853 is 2918619.
GCF of Denominators means GCF of 957,576 as per the given fractions.
GCF of 957,576 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9207,2853
3 | 9207, 2853 |
3 | 3069, 951 |
1023, 317 |
∴ So the LCM of the given numbers is 3 x 3 x 1023 x 317 = 2918619
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 9207,2853 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9207,2853) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(9207,2853) x common factors =9 x 1 = 9
LCM(9207,2853) = ( 9207 × 2853 ) / 9
LCM(9207,2853) = 26267571 / 9
LCM(9207,2853) = 2918619
Lets's calculate GCF of 957,576
3 | 957, 576 |
319, 192 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2918619/3
Therefore the LCM of Fractions 9207/957,2853/576 is 972873
Factors of 957
List of positive integer factors of 957 that divides 957 without a remainder.
1,3,11,29,33,87,319,957
Factors of 576
List of positive integer factors of 576 that divides 576 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,144,192,288,576
Greatest Common Factor
We found the factors 957,576 . The biggest common factor number is the GCF number.
So the greatest common factor 957,576 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 9207/957, 2853/576?
Answer: LCM of Numerators as per given numbers 9207/957, 2853/576 is
LCM of Numerators i.e. for 9207,2853 is 2918619
GCF of denominators i.e. for 957,576 is 3.
Thus, LCM of Fractions is 972873.Finally, LCM of Fractions for 9207/957, 2853/576 is 972873.