Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 964/11, 484/2840 quickly i.e. 116644 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 964/11, 484/2840 is 116644.
LCM(964/11, 484/2840) = 116644
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 964/11,484/2840
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 964,484
Least Common Multiple of Numerators i.e. LCM of 964,484 is 116644.
GCF of Denominators means GCF of 11,2840 as per the given fractions.
GCF of 11,2840 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 964,484
2 | 964, 484 |
2 | 482, 242 |
241, 121 |
∴ So the LCM of the given numbers is 2 x 2 x 241 x 121 = 116644
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 964,484 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(964,484) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(964,484) x common factors =4 x 1 = 4
LCM(964,484) = ( 964 × 484 ) / 4
LCM(964,484) = 466576 / 4
LCM(964,484) = 116644
Lets's calculate GCF of 11,2840
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 116644/1
Therefore the LCM of Fractions 964/11,484/2840 is 116644
Factors of 11
List of positive integer factors of 11 that divides 11 without a remainder.
1,11
Factors of 2840
List of positive integer factors of 2840 that divides 2840 without a remainder.
1,2,4,5,8,10,20,40,71,142,284,355,568,710,1420,2840
Greatest Common Factor
We found the factors 11,2840 . The biggest common factor number is the GCF number.
So the greatest common factor 11,2840 is 1.
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 964/11, 484/2840?
Answer: LCM of Numerators as per given numbers 964/11, 484/2840 is
LCM of Numerators i.e. for 964,484 is 116644
GCF of denominators i.e. for 11,2840 is 1.
Thus, LCM of Fractions is 116644.Finally, LCM of Fractions for 964/11, 484/2840 is 116644.