Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4/595, 34/743, 59/681 quickly i.e. 4012 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4/595, 34/743, 59/681 is 4012.
LCM(4/595, 34/743, 59/681) = 4012
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4/595,34/743,59/681
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 4,34,59
Least Common Multiple of Numerators i.e. LCM of 4,34,59 is 4012.
GCF of Denominators means GCF of 595,743,681 as per the given fractions.
GCF of 595,743,681 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4,34,59
2 | 4, 34, 59 |
2, 17, 59 |
∴ So the LCM of the given numbers is 2 x 2 x 17 x 59 = 4012
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 4,34,59 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4,34,59) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(4,34,59) x common factors =1 x 2 = 2
LCM(4,34,59) = ( 4 × 34 × 59 ) / 2
LCM(4,34,59) = 8024 / 2
LCM(4,34,59) = 4012
Lets's calculate GCF of 595,743,681
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4012/1
Therefore the LCM of Fractions 4/595,34/743,59/681 is 4012
Factors of 595
List of positive integer factors of 595 that divides 595 without a remainder.
1,5,7,17,35,85,119,595
Factors of 743
List of positive integer factors of 743 that divides 743 without a remainder.
1,743
Factors of 681
List of positive integer factors of 681 that divides 681 without a remainder.
1,3,227,681
Greatest Common Factor
We found the factors 595,743,681 . The biggest common factor number is the GCF number.
So the greatest common factor 595,743,681 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 4/595, 34/743, 59/681?
Answer: LCM of Numerators as per given numbers 4/595, 34/743, 59/681 is
LCM of Numerators i.e. for 4,34,59 is 4012
GCF of denominators i.e. for 595,743,681 is 1.
Thus, LCM of Fractions is 4012.Finally, LCM of Fractions for 4/595, 34/743, 59/681 is 4012.