Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 75/494, 823/138, 339/251 quickly i.e. 6974925 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 75/494, 823/138, 339/251 is 6974925.
LCM(75/494, 823/138, 339/251) = 6974925
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 75/494,823/138,339/251
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 75,823,339
Least Common Multiple of Numerators i.e. LCM of 75,823,339 is 6974925.
GCF of Denominators means GCF of 494,138,251 as per the given fractions.
GCF of 494,138,251 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 75,823,339
3 | 75, 823, 339 |
25, 823, 113 |
∴ So the LCM of the given numbers is 3 x 25 x 823 x 113 = 6974925
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 75,823,339 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(75,823,339) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(75,823,339) x common factors =1 x 3 = 3
LCM(75,823,339) = ( 75 × 823 × 339 ) / 3
LCM(75,823,339) = 20924775 / 3
LCM(75,823,339) = 6974925
Lets's calculate GCF of 494,138,251
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6974925/1
Therefore the LCM of Fractions 75/494,823/138,339/251 is 6974925
Factors of 494
List of positive integer factors of 494 that divides 494 without a remainder.
1,2,13,19,26,38,247,494
Factors of 138
List of positive integer factors of 138 that divides 138 without a remainder.
1,2,3,6,23,46,69,138
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 494,138,251 . The biggest common factor number is the GCF number.
So the greatest common factor 494,138,251 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 75/494, 823/138, 339/251?
Answer: LCM of Numerators as per given numbers 75/494, 823/138, 339/251 is
LCM of Numerators i.e. for 75,823,339 is 6974925
GCF of denominators i.e. for 494,138,251 is 1.
Thus, LCM of Fractions is 6974925.Finally, LCM of Fractions for 75/494, 823/138, 339/251 is 6974925.