Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 62/539, 25/784, 616/699 quickly i.e. 477400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 62/539, 25/784, 616/699 is 477400.
LCM(62/539, 25/784, 616/699) = 477400
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 62/539,25/784,616/699
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 62,25,616
Least Common Multiple of Numerators i.e. LCM of 62,25,616 is 477400.
GCF of Denominators means GCF of 539,784,699 as per the given fractions.
GCF of 539,784,699 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 62,25,616
2 | 62, 25, 616 |
31, 25, 308 |
∴ So the LCM of the given numbers is 2 x 31 x 25 x 308 = 477400
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 62,25,616 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(62,25,616) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(62,25,616) x common factors =1 x 2 = 2
LCM(62,25,616) = ( 62 × 25 × 616 ) / 2
LCM(62,25,616) = 954800 / 2
LCM(62,25,616) = 477400
Lets's calculate GCF of 539,784,699
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 477400/1
Therefore the LCM of Fractions 62/539,25/784,616/699 is 477400
Factors of 539
List of positive integer factors of 539 that divides 539 without a remainder.
1,7,11,49,77,539
Factors of 784
List of positive integer factors of 784 that divides 784 without a remainder.
1,2,4,7,8,14,16,28,49,56,98,112,196,392,784
Factors of 699
List of positive integer factors of 699 that divides 699 without a remainder.
1,3,233,699
Greatest Common Factor
We found the factors 539,784,699 . The biggest common factor number is the GCF number.
So the greatest common factor 539,784,699 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 62/539, 25/784, 616/699?
Answer: LCM of Numerators as per given numbers 62/539, 25/784, 616/699 is
LCM of Numerators i.e. for 62,25,616 is 477400
GCF of denominators i.e. for 539,784,699 is 1.
Thus, LCM of Fractions is 477400.Finally, LCM of Fractions for 62/539, 25/784, 616/699 is 477400.