Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 31/509, 44/342, 623/251 quickly i.e. 849772 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 31/509, 44/342, 623/251 is 849772.
LCM(31/509, 44/342, 623/251) = 849772
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 31/509,44/342,623/251
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 31,44,623
Least Common Multiple of Numerators i.e. LCM of 31,44,623 is 849772.
GCF of Denominators means GCF of 509,342,251 as per the given fractions.
GCF of 509,342,251 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 31,44,623
Given numbers has no common factors except 1. So, there LCM is their product i.e 849772
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 31,44,623 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(31,44,623) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(31,44,623) x common factors =1 x 1 = 1
LCM(31,44,623) = ( 31 × 44 × 623 ) / 1
LCM(31,44,623) = 849772 / 1
LCM(31,44,623) = 849772
Lets's calculate GCF of 509,342,251
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 849772/1
Therefore the LCM of Fractions 31/509,44/342,623/251 is 849772
Factors of 509
List of positive integer factors of 509 that divides 509 without a remainder.
1,509
Factors of 342
List of positive integer factors of 342 that divides 342 without a remainder.
1,2,3,6,9,18,19,38,57,114,171,342
Factors of 251
List of positive integer factors of 251 that divides 251 without a remainder.
1,251
Greatest Common Factor
We found the factors 509,342,251 . The biggest common factor number is the GCF number.
So the greatest common factor 509,342,251 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 31/509, 44/342, 623/251?
Answer: LCM of Numerators as per given numbers 31/509, 44/342, 623/251 is
LCM of Numerators i.e. for 31,44,623 is 849772
GCF of denominators i.e. for 509,342,251 is 1.
Thus, LCM of Fractions is 849772.Finally, LCM of Fractions for 31/509, 44/342, 623/251 is 849772.