Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 58/496, 636/619, 401/472 quickly i.e. 7396044 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 58/496, 636/619, 401/472 is 7396044.
LCM(58/496, 636/619, 401/472) = 7396044
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 58/496,636/619,401/472
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 58,636,401
Least Common Multiple of Numerators i.e. LCM of 58,636,401 is 7396044.
GCF of Denominators means GCF of 496,619,472 as per the given fractions.
GCF of 496,619,472 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 58,636,401
2 | 58, 636, 401 |
29, 318, 401 |
∴ So the LCM of the given numbers is 2 x 29 x 318 x 401 = 7396044
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 58,636,401 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(58,636,401) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(58,636,401) x common factors =1 x 2 = 2
LCM(58,636,401) = ( 58 × 636 × 401 ) / 2
LCM(58,636,401) = 14792088 / 2
LCM(58,636,401) = 7396044
Lets's calculate GCF of 496,619,472
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7396044/1
Therefore the LCM of Fractions 58/496,636/619,401/472 is 7396044
Factors of 496
List of positive integer factors of 496 that divides 496 without a remainder.
1,2,4,8,16,31,62,124,248,496
Factors of 619
List of positive integer factors of 619 that divides 619 without a remainder.
1,619
Factors of 472
List of positive integer factors of 472 that divides 472 without a remainder.
1,2,4,8,59,118,236,472
Greatest Common Factor
We found the factors 496,619,472 . The biggest common factor number is the GCF number.
So the greatest common factor 496,619,472 is 1.
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 58/496, 636/619, 401/472?
Answer: LCM of Numerators as per given numbers 58/496, 636/619, 401/472 is
LCM of Numerators i.e. for 58,636,401 is 7396044
GCF of denominators i.e. for 496,619,472 is 1.
Thus, LCM of Fractions is 7396044.Finally, LCM of Fractions for 58/496, 636/619, 401/472 is 7396044.