Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 476/25, 595/9935 quickly i.e. 476 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 476/25, 595/9935 is 476.
LCM(476/25, 595/9935) = 476
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 476/25,595/9935
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 476,595
Least Common Multiple of Numerators i.e. LCM of 476,595 is 2380.
GCF of Denominators means GCF of 25,9935 as per the given fractions.
GCF of 25,9935 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 476,595
7 | 476, 595 |
17 | 68, 85 |
4, 5 |
∴ So the LCM of the given numbers is 7 x 17 x 4 x 5 = 2380
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 476,595 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(476,595) = 119
common factors(in case of two or more numbers have common factors) = 1
GCF(476,595) x common factors =119 x 1 = 119
LCM(476,595) = ( 476 × 595 ) / 119
LCM(476,595) = 283220 / 119
LCM(476,595) = 2380
Lets's calculate GCF of 25,9935
5 | 25, 9935 |
5, 1987 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2380/5
Therefore the LCM of Fractions 476/25,595/9935 is 476
Factors of 25
List of positive integer factors of 25 that divides 25 without a remainder.
1,5,25
Factors of 9935
List of positive integer factors of 9935 that divides 9935 without a remainder.
1,5,1987,9935
Greatest Common Factor
We found the factors 25,9935 . The biggest common factor number is the GCF number.
So the greatest common factor 25,9935 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 476/25, 595/9935?
Answer: LCM of Numerators as per given numbers 476/25, 595/9935 is
LCM of Numerators i.e. for 476,595 is 2380
GCF of denominators i.e. for 25,9935 is 5.
Thus, LCM of Fractions is 476.Finally, LCM of Fractions for 476/25, 595/9935 is 476.