Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 783/23, 779/54, 573/194 quickly i.e. 116501787 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 783/23, 779/54, 573/194 is 116501787.
LCM(783/23, 779/54, 573/194) = 116501787
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 783/23,779/54,573/194
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 783,779,573
Least Common Multiple of Numerators i.e. LCM of 783,779,573 is 116501787.
GCF of Denominators means GCF of 23,54,194 as per the given fractions.
GCF of 23,54,194 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 783,779,573
3 | 783, 779, 573 |
261, 779, 191 |
∴ So the LCM of the given numbers is 3 x 261 x 779 x 191 = 116501787
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 783,779,573 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(783,779,573) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(783,779,573) x common factors =1 x 3 = 3
LCM(783,779,573) = ( 783 × 779 × 573 ) / 3
LCM(783,779,573) = 349505361 / 3
LCM(783,779,573) = 116501787
Lets's calculate GCF of 23,54,194
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 116501787/1
Therefore the LCM of Fractions 783/23,779/54,573/194 is 116501787
Factors of 23
List of positive integer factors of 23 that divides 23 without a remainder.
1,23
Factors of 54
List of positive integer factors of 54 that divides 54 without a remainder.
1,2,3,6,9,18,27,54
Factors of 194
List of positive integer factors of 194 that divides 194 without a remainder.
1,2,97,194
Greatest Common Factor
We found the factors 23,54,194 . The biggest common factor number is the GCF number.
So the greatest common factor 23,54,194 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 783/23, 779/54, 573/194?
Answer: LCM of Numerators as per given numbers 783/23, 779/54, 573/194 is
LCM of Numerators i.e. for 783,779,573 is 116501787
GCF of denominators i.e. for 23,54,194 is 1.
Thus, LCM of Fractions is 116501787.Finally, LCM of Fractions for 783/23, 779/54, 573/194 is 116501787.