Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 29/337, 56/631, 506/594 quickly i.e. 410872 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 29/337, 56/631, 506/594 is 410872.
LCM(29/337, 56/631, 506/594) = 410872
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 29/337,56/631,506/594
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 29,56,506
Least Common Multiple of Numerators i.e. LCM of 29,56,506 is 410872.
GCF of Denominators means GCF of 337,631,594 as per the given fractions.
GCF of 337,631,594 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 29,56,506
2 | 29, 56, 506 |
29, 28, 253 |
∴ So the LCM of the given numbers is 2 x 29 x 28 x 253 = 410872
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 29,56,506 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(29,56,506) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(29,56,506) x common factors =1 x 2 = 2
LCM(29,56,506) = ( 29 × 56 × 506 ) / 2
LCM(29,56,506) = 821744 / 2
LCM(29,56,506) = 410872
Lets's calculate GCF of 337,631,594
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 410872/1
Therefore the LCM of Fractions 29/337,56/631,506/594 is 410872
Factors of 337
List of positive integer factors of 337 that divides 337 without a remainder.
1,337
Factors of 631
List of positive integer factors of 631 that divides 631 without a remainder.
1,631
Factors of 594
List of positive integer factors of 594 that divides 594 without a remainder.
1,2,3,6,9,11,18,22,27,33,54,66,99,198,297,594
Greatest Common Factor
We found the factors 337,631,594 . The biggest common factor number is the GCF number.
So the greatest common factor 337,631,594 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 29/337, 56/631, 506/594?
Answer: LCM of Numerators as per given numbers 29/337, 56/631, 506/594 is
LCM of Numerators i.e. for 29,56,506 is 410872
GCF of denominators i.e. for 337,631,594 is 1.
Thus, LCM of Fractions is 410872.Finally, LCM of Fractions for 29/337, 56/631, 506/594 is 410872.