Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 507/506, 883/391 quickly i.e. 447681/23 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 507/506, 883/391 is 447681/23.
LCM(507/506, 883/391) = 447681/23
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 507/506,883/391
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 507,883
Least Common Multiple of Numerators i.e. LCM of 507,883 is 447681.
GCF of Denominators means GCF of 506,391 as per the given fractions.
GCF of 506,391 is 23 as it is the largest common factor for these numbers.
Lets's calculate LCM of 507,883
Given numbers has no common factors except 1. So, there LCM is their product i.e 447681
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 507,883 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(507,883) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(507,883) x common factors =1 x 1 = 1
LCM(507,883) = ( 507 × 883 ) / 1
LCM(507,883) = 447681 / 1
LCM(507,883) = 447681
Lets's calculate GCF of 506,391
23 | 506, 391 |
22, 17 |
∴ So the GCF of the given numbers is 23 = 23
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 447681/23
Therefore the LCM of Fractions 507/506,883/391 is 447681/23
Factors of 506
List of positive integer factors of 506 that divides 506 without a remainder.
1,2,11,22,23,46,253,506
Factors of 391
List of positive integer factors of 391 that divides 391 without a remainder.
1,17,23,391
Greatest Common Factor
We found the factors 506,391 . The biggest common factor number is the GCF number.
So the greatest common factor 506,391 is 23.
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 507/506, 883/391?
Answer: LCM of Numerators as per given numbers 507/506, 883/391 is
LCM of Numerators i.e. for 507,883 is 447681
GCF of denominators i.e. for 506,391 is 23.
Thus, LCM of Fractions is 447681/23.Finally, LCM of Fractions for 507/506, 883/391 is 447681/23.