Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 640/25, 463/5025 quickly i.e. 296320/25 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 640/25, 463/5025 is 296320/25.
LCM(640/25, 463/5025) = 296320/25
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 640/25,463/5025
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 640,463
Least Common Multiple of Numerators i.e. LCM of 640,463 is 296320.
GCF of Denominators means GCF of 25,5025 as per the given fractions.
GCF of 25,5025 is 25 as it is the largest common factor for these numbers.
Lets's calculate LCM of 640,463
Given numbers has no common factors except 1. So, there LCM is their product i.e 296320
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 640,463 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(640,463) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(640,463) x common factors =1 x 1 = 1
LCM(640,463) = ( 640 × 463 ) / 1
LCM(640,463) = 296320 / 1
LCM(640,463) = 296320
Lets's calculate GCF of 25,5025
5 | 25, 5025 |
5 | 5, 1005 |
1, 201 |
∴ So the GCF of the given numbers is 5 x 5 = 25
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 296320/25
Therefore the LCM of Fractions 640/25,463/5025 is 296320/25
Factors of 25
List of positive integer factors of 25 that divides 25 without a remainder.
1,5,25
Factors of 5025
List of positive integer factors of 5025 that divides 5025 without a remainder.
1,3,5,15,25,67,75,201,335,1005,1675,5025
Greatest Common Factor
We found the factors 25,5025 . The biggest common factor number is the GCF number.
So the greatest common factor 25,5025 is 25.
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 640/25, 463/5025?
Answer: LCM of Numerators as per given numbers 640/25, 463/5025 is
LCM of Numerators i.e. for 640,463 is 296320
GCF of denominators i.e. for 25,5025 is 25.
Thus, LCM of Fractions is 296320/25.Finally, LCM of Fractions for 640/25, 463/5025 is 296320/25.