Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 20/756, 10/144, 965/258 quickly i.e. 3860/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 20/756, 10/144, 965/258 is 3860/6.
LCM(20/756, 10/144, 965/258) = 3860/6
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 20/756,10/144,965/258
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 20,10,965
Least Common Multiple of Numerators i.e. LCM of 20,10,965 is 3860.
GCF of Denominators means GCF of 756,144,258 as per the given fractions.
GCF of 756,144,258 is 6 as it is the largest common factor for these numbers.
Lets's calculate LCM of 20,10,965
2 | 20, 10, 965 |
5 | 10, 5, 965 |
2, 1, 193 |
∴ So the LCM of the given numbers is 2 x 5 x 2 x 1 x 193 = 3860
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 20,10,965 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(20,10,965) = 5
common factors(in case of two or more numbers have common factors) = 10
GCF(20,10,965) x common factors =5 x 10 = 50
LCM(20,10,965) = ( 20 × 10 × 965 ) / 50
LCM(20,10,965) = 193000 / 50
LCM(20,10,965) = 3860
Lets's calculate GCF of 756,144,258
2 | 756, 144, 258 |
3 | 378, 72, 129 |
126, 24, 43 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3860/6
Therefore the LCM of Fractions 20/756,10/144,965/258 is 3860/6
Factors of 756
List of positive integer factors of 756 that divides 756 without a remainder.
1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756
Factors of 144
List of positive integer factors of 144 that divides 144 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,36,48,72,144
Factors of 258
List of positive integer factors of 258 that divides 258 without a remainder.
1,2,3,6,43,86,129,258
Greatest Common Factor
We found the factors 756,144,258 . The biggest common factor number is the GCF number.
So the greatest common factor 756,144,258 is 6.
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 20/756, 10/144, 965/258?
Answer: LCM of Numerators as per given numbers 20/756, 10/144, 965/258 is
LCM of Numerators i.e. for 20,10,965 is 3860
GCF of denominators i.e. for 756,144,258 is 6.
Thus, LCM of Fractions is 3860/6.Finally, LCM of Fractions for 20/756, 10/144, 965/258 is 3860/6.