Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 30/590, 59/641, 749/684 quickly i.e. 1325730 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 30/590, 59/641, 749/684 is 1325730.
LCM(30/590, 59/641, 749/684) = 1325730
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 30/590,59/641,749/684
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 30,59,749
Least Common Multiple of Numerators i.e. LCM of 30,59,749 is 1325730.
GCF of Denominators means GCF of 590,641,684 as per the given fractions.
GCF of 590,641,684 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 30,59,749
Given numbers has no common factors except 1. So, there LCM is their product i.e 1325730
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 30,59,749 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(30,59,749) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(30,59,749) x common factors =1 x 1 = 1
LCM(30,59,749) = ( 30 × 59 × 749 ) / 1
LCM(30,59,749) = 1325730 / 1
LCM(30,59,749) = 1325730
Lets's calculate GCF of 590,641,684
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1325730/1
Therefore the LCM of Fractions 30/590,59/641,749/684 is 1325730
Factors of 590
List of positive integer factors of 590 that divides 590 without a remainder.
1,2,5,10,59,118,295,590
Factors of 641
List of positive integer factors of 641 that divides 641 without a remainder.
1,641
Factors of 684
List of positive integer factors of 684 that divides 684 without a remainder.
1,2,3,4,6,9,12,18,19,36,38,57,76,114,171,228,342,684
Greatest Common Factor
We found the factors 590,641,684 . The biggest common factor number is the GCF number.
So the greatest common factor 590,641,684 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 30/590, 59/641, 749/684?
Answer: LCM of Numerators as per given numbers 30/590, 59/641, 749/684 is
LCM of Numerators i.e. for 30,59,749 is 1325730
GCF of denominators i.e. for 590,641,684 is 1.
Thus, LCM of Fractions is 1325730.Finally, LCM of Fractions for 30/590, 59/641, 749/684 is 1325730.