Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 590/85, 4076/629 quickly i.e. 1202420/17 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 590/85, 4076/629 is 1202420/17.
LCM(590/85, 4076/629) = 1202420/17
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 590/85,4076/629
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 590,4076
Least Common Multiple of Numerators i.e. LCM of 590,4076 is 1202420.
GCF of Denominators means GCF of 85,629 as per the given fractions.
GCF of 85,629 is 17 as it is the largest common factor for these numbers.
Lets's calculate LCM of 590,4076
2 | 590, 4076 |
295, 2038 |
∴ So the LCM of the given numbers is 2 x 295 x 2038 = 1202420
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 590,4076 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(590,4076) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(590,4076) x common factors =2 x 1 = 2
LCM(590,4076) = ( 590 × 4076 ) / 2
LCM(590,4076) = 2404840 / 2
LCM(590,4076) = 1202420
Lets's calculate GCF of 85,629
17 | 85, 629 |
5, 37 |
∴ So the GCF of the given numbers is 17 = 17
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1202420/17
Therefore the LCM of Fractions 590/85,4076/629 is 1202420/17
Factors of 85
List of positive integer factors of 85 that divides 85 without a remainder.
1,5,17,85
Factors of 629
List of positive integer factors of 629 that divides 629 without a remainder.
1,17,37,629
Greatest Common Factor
We found the factors 85,629 . The biggest common factor number is the GCF number.
So the greatest common factor 85,629 is 17.
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 590/85, 4076/629?
Answer: LCM of Numerators as per given numbers 590/85, 4076/629 is
LCM of Numerators i.e. for 590,4076 is 1202420
GCF of denominators i.e. for 85,629 is 17.
Thus, LCM of Fractions is 1202420/17.Finally, LCM of Fractions for 590/85, 4076/629 is 1202420/17.