Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 522/52, 789/67, 138/431 quickly i.e. 3157578 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 522/52, 789/67, 138/431 is 3157578.
LCM(522/52, 789/67, 138/431) = 3157578
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 522/52,789/67,138/431
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 522,789,138
Least Common Multiple of Numerators i.e. LCM of 522,789,138 is 3157578.
GCF of Denominators means GCF of 52,67,431 as per the given fractions.
GCF of 52,67,431 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 522,789,138
2 | 522, 789, 138 |
3 | 261, 789, 69 |
87, 263, 23 |
∴ So the LCM of the given numbers is 2 x 3 x 87 x 263 x 23 = 3157578
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 522,789,138 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(522,789,138) = 3
common factors(in case of two or more numbers have common factors) = 6
GCF(522,789,138) x common factors =3 x 6 = 18
LCM(522,789,138) = ( 522 × 789 × 138 ) / 18
LCM(522,789,138) = 56836404 / 18
LCM(522,789,138) = 3157578
Lets's calculate GCF of 52,67,431
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3157578/1
Therefore the LCM of Fractions 522/52,789/67,138/431 is 3157578
Factors of 52
List of positive integer factors of 52 that divides 52 without a remainder.
1,2,4,13,26,52
Factors of 67
List of positive integer factors of 67 that divides 67 without a remainder.
1,67
Factors of 431
List of positive integer factors of 431 that divides 431 without a remainder.
1,431
Greatest Common Factor
We found the factors 52,67,431 . The biggest common factor number is the GCF number.
So the greatest common factor 52,67,431 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 522/52, 789/67, 138/431?
Answer: LCM of Numerators as per given numbers 522/52, 789/67, 138/431 is
LCM of Numerators i.e. for 522,789,138 is 3157578
GCF of denominators i.e. for 52,67,431 is 1.
Thus, LCM of Fractions is 3157578.Finally, LCM of Fractions for 522/52, 789/67, 138/431 is 3157578.