Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 234/83, 527/19, 497/133 quickly i.e. 61289046 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 234/83, 527/19, 497/133 is 61289046.
LCM(234/83, 527/19, 497/133) = 61289046
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 234/83,527/19,497/133
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 234,527,497
Least Common Multiple of Numerators i.e. LCM of 234,527,497 is 61289046.
GCF of Denominators means GCF of 83,19,133 as per the given fractions.
GCF of 83,19,133 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 234,527,497
Given numbers has no common factors except 1. So, there LCM is their product i.e 61289046
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 234,527,497 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(234,527,497) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(234,527,497) x common factors =1 x 1 = 1
LCM(234,527,497) = ( 234 × 527 × 497 ) / 1
LCM(234,527,497) = 61289046 / 1
LCM(234,527,497) = 61289046
Lets's calculate GCF of 83,19,133
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 61289046/1
Therefore the LCM of Fractions 234/83,527/19,497/133 is 61289046
Factors of 83
List of positive integer factors of 83 that divides 83 without a remainder.
1,83
Factors of 19
List of positive integer factors of 19 that divides 19 without a remainder.
1,19
Factors of 133
List of positive integer factors of 133 that divides 133 without a remainder.
1,7,19,133
Greatest Common Factor
We found the factors 83,19,133 . The biggest common factor number is the GCF number.
So the greatest common factor 83,19,133 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 234/83, 527/19, 497/133?
Answer: LCM of Numerators as per given numbers 234/83, 527/19, 497/133 is
LCM of Numerators i.e. for 234,527,497 is 61289046
GCF of denominators i.e. for 83,19,133 is 1.
Thus, LCM of Fractions is 61289046.Finally, LCM of Fractions for 234/83, 527/19, 497/133 is 61289046.