Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 204/831, 619/653, 699/177 quickly i.e. 29422308 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 204/831, 619/653, 699/177 is 29422308.
LCM(204/831, 619/653, 699/177) = 29422308
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 204/831,619/653,699/177
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 204,619,699
Least Common Multiple of Numerators i.e. LCM of 204,619,699 is 29422308.
GCF of Denominators means GCF of 831,653,177 as per the given fractions.
GCF of 831,653,177 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 204,619,699
3 | 204, 619, 699 |
68, 619, 233 |
∴ So the LCM of the given numbers is 3 x 68 x 619 x 233 = 29422308
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 204,619,699 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(204,619,699) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(204,619,699) x common factors =1 x 3 = 3
LCM(204,619,699) = ( 204 × 619 × 699 ) / 3
LCM(204,619,699) = 88266924 / 3
LCM(204,619,699) = 29422308
Lets's calculate GCF of 831,653,177
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29422308/1
Therefore the LCM of Fractions 204/831,619/653,699/177 is 29422308
Factors of 831
List of positive integer factors of 831 that divides 831 without a remainder.
1,3,277,831
Factors of 653
List of positive integer factors of 653 that divides 653 without a remainder.
1,653
Factors of 177
List of positive integer factors of 177 that divides 177 without a remainder.
1,3,59,177
Greatest Common Factor
We found the factors 831,653,177 . The biggest common factor number is the GCF number.
So the greatest common factor 831,653,177 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 204/831, 619/653, 699/177?
Answer: LCM of Numerators as per given numbers 204/831, 619/653, 699/177 is
LCM of Numerators i.e. for 204,619,699 is 29422308
GCF of denominators i.e. for 831,653,177 is 1.
Thus, LCM of Fractions is 29422308.Finally, LCM of Fractions for 204/831, 619/653, 699/177 is 29422308.