Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5772/261, 5923/846 quickly i.e. 34187556/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5772/261, 5923/846 is 34187556/9.
LCM(5772/261, 5923/846) = 34187556/9
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5772/261,5923/846
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 5772,5923
Least Common Multiple of Numerators i.e. LCM of 5772,5923 is 34187556.
GCF of Denominators means GCF of 261,846 as per the given fractions.
GCF of 261,846 is 9 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5772,5923
Given numbers has no common factors except 1. So, there LCM is their product i.e 34187556
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 5772,5923 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5772,5923) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(5772,5923) x common factors =1 x 1 = 1
LCM(5772,5923) = ( 5772 × 5923 ) / 1
LCM(5772,5923) = 34187556 / 1
LCM(5772,5923) = 34187556
Lets's calculate GCF of 261,846
3 | 261, 846 |
3 | 87, 282 |
29, 94 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34187556/9
Therefore the LCM of Fractions 5772/261,5923/846 is 34187556/9
Factors of 261
List of positive integer factors of 261 that divides 261 without a remainder.
1,3,9,29,87,261
Factors of 846
List of positive integer factors of 846 that divides 846 without a remainder.
1,2,3,6,9,18,47,94,141,282,423,846
Greatest Common Factor
We found the factors 261,846 . The biggest common factor number is the GCF number.
So the greatest common factor 261,846 is 9.
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 5772/261, 5923/846?
Answer: LCM of Numerators as per given numbers 5772/261, 5923/846 is
LCM of Numerators i.e. for 5772,5923 is 34187556
GCF of denominators i.e. for 261,846 is 9.
Thus, LCM of Fractions is 34187556/9.Finally, LCM of Fractions for 5772/261, 5923/846 is 34187556/9.