Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6479/51, 1101/519 quickly i.e. 2377793 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6479/51, 1101/519 is 2377793.
LCM(6479/51, 1101/519) = 2377793
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6479/51,1101/519
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 6479,1101
Least Common Multiple of Numerators i.e. LCM of 6479,1101 is 7133379.
GCF of Denominators means GCF of 51,519 as per the given fractions.
GCF of 51,519 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6479,1101
Given numbers has no common factors except 1. So, there LCM is their product i.e 7133379
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 6479,1101 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6479,1101) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(6479,1101) x common factors =1 x 1 = 1
LCM(6479,1101) = ( 6479 × 1101 ) / 1
LCM(6479,1101) = 7133379 / 1
LCM(6479,1101) = 7133379
Lets's calculate GCF of 51,519
3 | 51, 519 |
17, 173 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7133379/3
Therefore the LCM of Fractions 6479/51,1101/519 is 2377793
Factors of 51
List of positive integer factors of 51 that divides 51 without a remainder.
1,3,17,51
Factors of 519
List of positive integer factors of 519 that divides 519 without a remainder.
1,3,173,519
Greatest Common Factor
We found the factors 51,519 . The biggest common factor number is the GCF number.
So the greatest common factor 51,519 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 6479/51, 1101/519?
Answer: LCM of Numerators as per given numbers 6479/51, 1101/519 is
LCM of Numerators i.e. for 6479,1101 is 7133379
GCF of denominators i.e. for 51,519 is 3.
Thus, LCM of Fractions is 2377793.Finally, LCM of Fractions for 6479/51, 1101/519 is 2377793.