Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 596/414, 5288/2141 quickly i.e. 787912 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 596/414, 5288/2141 is 787912.
LCM(596/414, 5288/2141) = 787912
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 596/414,5288/2141
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 596,5288
Least Common Multiple of Numerators i.e. LCM of 596,5288 is 787912.
GCF of Denominators means GCF of 414,2141 as per the given fractions.
GCF of 414,2141 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 596,5288
2 | 596, 5288 |
2 | 298, 2644 |
149, 1322 |
∴ So the LCM of the given numbers is 2 x 2 x 149 x 1322 = 787912
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 596,5288 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(596,5288) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(596,5288) x common factors =4 x 1 = 4
LCM(596,5288) = ( 596 × 5288 ) / 4
LCM(596,5288) = 3151648 / 4
LCM(596,5288) = 787912
Lets's calculate GCF of 414,2141
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 787912/1
Therefore the LCM of Fractions 596/414,5288/2141 is 787912
Factors of 414
List of positive integer factors of 414 that divides 414 without a remainder.
1,2,3,6,9,18,23,46,69,138,207,414
Factors of 2141
List of positive integer factors of 2141 that divides 2141 without a remainder.
1,2141
Greatest Common Factor
We found the factors 414,2141 . The biggest common factor number is the GCF number.
So the greatest common factor 414,2141 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 596/414, 5288/2141?
Answer: LCM of Numerators as per given numbers 596/414, 5288/2141 is
LCM of Numerators i.e. for 596,5288 is 787912
GCF of denominators i.e. for 414,2141 is 1.
Thus, LCM of Fractions is 787912.Finally, LCM of Fractions for 596/414, 5288/2141 is 787912.