Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 204/693, 896/889, 913/655 quickly i.e. 41720448 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 204/693, 896/889, 913/655 is 41720448.
LCM(204/693, 896/889, 913/655) = 41720448
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 204/693,896/889,913/655
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 204,896,913
Least Common Multiple of Numerators i.e. LCM of 204,896,913 is 41720448.
GCF of Denominators means GCF of 693,889,655 as per the given fractions.
GCF of 693,889,655 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 204,896,913
2 | 204, 896, 913 |
2 | 102, 448, 913 |
51, 224, 913 |
∴ So the LCM of the given numbers is 2 x 2 x 51 x 224 x 913 = 41720448
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 204,896,913 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(204,896,913) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(204,896,913) x common factors =1 x 4 = 4
LCM(204,896,913) = ( 204 × 896 × 913 ) / 4
LCM(204,896,913) = 166881792 / 4
LCM(204,896,913) = 41720448
Lets's calculate GCF of 693,889,655
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41720448/1
Therefore the LCM of Fractions 204/693,896/889,913/655 is 41720448
Factors of 693
List of positive integer factors of 693 that divides 693 without a remainder.
1,3,7,9,11,21,33,63,77,99,231,693
Factors of 889
List of positive integer factors of 889 that divides 889 without a remainder.
1,7,127,889
Factors of 655
List of positive integer factors of 655 that divides 655 without a remainder.
1,5,131,655
Greatest Common Factor
We found the factors 693,889,655 . The biggest common factor number is the GCF number.
So the greatest common factor 693,889,655 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 204/693, 896/889, 913/655?
Answer: LCM of Numerators as per given numbers 204/693, 896/889, 913/655 is
LCM of Numerators i.e. for 204,896,913 is 41720448
GCF of denominators i.e. for 693,889,655 is 1.
Thus, LCM of Fractions is 41720448.Finally, LCM of Fractions for 204/693, 896/889, 913/655 is 41720448.