Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 10/477, 6511/4053 quickly i.e. 65110/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 10/477, 6511/4053 is 65110/3.
LCM(10/477, 6511/4053) = 65110/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 10/477,6511/4053
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 10,6511
Least Common Multiple of Numerators i.e. LCM of 10,6511 is 65110.
GCF of Denominators means GCF of 477,4053 as per the given fractions.
GCF of 477,4053 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 10,6511
Given numbers has no common factors except 1. So, there LCM is their product i.e 65110
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 10,6511 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(10,6511) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(10,6511) x common factors =1 x 1 = 1
LCM(10,6511) = ( 10 × 6511 ) / 1
LCM(10,6511) = 65110 / 1
LCM(10,6511) = 65110
Lets's calculate GCF of 477,4053
3 | 477, 4053 |
159, 1351 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 65110/3
Therefore the LCM of Fractions 10/477,6511/4053 is 65110/3
Factors of 477
List of positive integer factors of 477 that divides 477 without a remainder.
1,3,9,53,159,477
Factors of 4053
List of positive integer factors of 4053 that divides 4053 without a remainder.
1,3,7,21,193,579,1351,4053
Greatest Common Factor
We found the factors 477,4053 . The biggest common factor number is the GCF number.
So the greatest common factor 477,4053 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 10/477, 6511/4053?
Answer: LCM of Numerators as per given numbers 10/477, 6511/4053 is
LCM of Numerators i.e. for 10,6511 is 65110
GCF of denominators i.e. for 477,4053 is 3.
Thus, LCM of Fractions is 65110/3.Finally, LCM of Fractions for 10/477, 6511/4053 is 65110/3.