Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 704/50, 551/6465 quickly i.e. 387904/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 704/50, 551/6465 is 387904/5.
LCM(704/50, 551/6465) = 387904/5
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 704/50,551/6465
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 704,551
Least Common Multiple of Numerators i.e. LCM of 704,551 is 387904.
GCF of Denominators means GCF of 50,6465 as per the given fractions.
GCF of 50,6465 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 704,551
Given numbers has no common factors except 1. So, there LCM is their product i.e 387904
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 704,551 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(704,551) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(704,551) x common factors =1 x 1 = 1
LCM(704,551) = ( 704 × 551 ) / 1
LCM(704,551) = 387904 / 1
LCM(704,551) = 387904
Lets's calculate GCF of 50,6465
5 | 50, 6465 |
10, 1293 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 387904/5
Therefore the LCM of Fractions 704/50,551/6465 is 387904/5
Factors of 50
List of positive integer factors of 50 that divides 50 without a remainder.
1,2,5,10,25,50
Factors of 6465
List of positive integer factors of 6465 that divides 6465 without a remainder.
1,3,5,15,431,1293,2155,6465
Greatest Common Factor
We found the factors 50,6465 . The biggest common factor number is the GCF number.
So the greatest common factor 50,6465 is 5.
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 704/50, 551/6465?
Answer: LCM of Numerators as per given numbers 704/50, 551/6465 is
LCM of Numerators i.e. for 704,551 is 387904
GCF of denominators i.e. for 50,6465 is 5.
Thus, LCM of Fractions is 387904/5.Finally, LCM of Fractions for 704/50, 551/6465 is 387904/5.