Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5904/344, 7429/5100 quickly i.e. 10965204 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5904/344, 7429/5100 is 10965204.
LCM(5904/344, 7429/5100) = 10965204
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5904/344,7429/5100
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 5904,7429
Least Common Multiple of Numerators i.e. LCM of 5904,7429 is 43860816.
GCF of Denominators means GCF of 344,5100 as per the given fractions.
GCF of 344,5100 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5904,7429
Given numbers has no common factors except 1. So, there LCM is their product i.e 43860816
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 5904,7429 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5904,7429) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(5904,7429) x common factors =1 x 1 = 1
LCM(5904,7429) = ( 5904 × 7429 ) / 1
LCM(5904,7429) = 43860816 / 1
LCM(5904,7429) = 43860816
Lets's calculate GCF of 344,5100
2 | 344, 5100 |
2 | 172, 2550 |
86, 1275 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 43860816/4
Therefore the LCM of Fractions 5904/344,7429/5100 is 10965204
Factors of 344
List of positive integer factors of 344 that divides 344 without a remainder.
1,2,4,8,43,86,172,344
Factors of 5100
List of positive integer factors of 5100 that divides 5100 without a remainder.
1,2,3,4,5,6,10,12,15,17,20,25,30,34,50,51,60,68,75,85,100,102,150,170,204,255,300,340,425,510,850,1020,1275,1700,2550,5100
Greatest Common Factor
We found the factors 344,5100 . The biggest common factor number is the GCF number.
So the greatest common factor 344,5100 is 4.
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 5904/344, 7429/5100?
Answer: LCM of Numerators as per given numbers 5904/344, 7429/5100 is
LCM of Numerators i.e. for 5904,7429 is 43860816
GCF of denominators i.e. for 344,5100 is 4.
Thus, LCM of Fractions is 10965204.Finally, LCM of Fractions for 5904/344, 7429/5100 is 10965204.