Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 62/399, 7460/5186 quickly i.e. 231260 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 62/399, 7460/5186 is 231260.
LCM(62/399, 7460/5186) = 231260
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 62/399,7460/5186
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 62,7460
Least Common Multiple of Numerators i.e. LCM of 62,7460 is 231260.
GCF of Denominators means GCF of 399,5186 as per the given fractions.
GCF of 399,5186 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 62,7460
2 | 62, 7460 |
31, 3730 |
∴ So the LCM of the given numbers is 2 x 31 x 3730 = 231260
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 62,7460 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(62,7460) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(62,7460) x common factors =2 x 1 = 2
LCM(62,7460) = ( 62 × 7460 ) / 2
LCM(62,7460) = 462520 / 2
LCM(62,7460) = 231260
Lets's calculate GCF of 399,5186
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 231260/1
Therefore the LCM of Fractions 62/399,7460/5186 is 231260
Factors of 399
List of positive integer factors of 399 that divides 399 without a remainder.
1,3,7,19,21,57,133,399
Factors of 5186
List of positive integer factors of 5186 that divides 5186 without a remainder.
1,2,2593,5186
Greatest Common Factor
We found the factors 399,5186 . The biggest common factor number is the GCF number.
So the greatest common factor 399,5186 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 62/399, 7460/5186?
Answer: LCM of Numerators as per given numbers 62/399, 7460/5186 is
LCM of Numerators i.e. for 62,7460 is 231260
GCF of denominators i.e. for 399,5186 is 1.
Thus, LCM of Fractions is 231260.Finally, LCM of Fractions for 62/399, 7460/5186 is 231260.