Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 65/435, 866/833, 644/578 quickly i.e. 18125380 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 65/435, 866/833, 644/578 is 18125380.
LCM(65/435, 866/833, 644/578) = 18125380
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 65/435,866/833,644/578
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 65,866,644
Least Common Multiple of Numerators i.e. LCM of 65,866,644 is 18125380.
GCF of Denominators means GCF of 435,833,578 as per the given fractions.
GCF of 435,833,578 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 65,866,644
2 | 65, 866, 644 |
65, 433, 322 |
∴ So the LCM of the given numbers is 2 x 65 x 433 x 322 = 18125380
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 65,866,644 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(65,866,644) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(65,866,644) x common factors =1 x 2 = 2
LCM(65,866,644) = ( 65 × 866 × 644 ) / 2
LCM(65,866,644) = 36250760 / 2
LCM(65,866,644) = 18125380
Lets's calculate GCF of 435,833,578
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18125380/1
Therefore the LCM of Fractions 65/435,866/833,644/578 is 18125380
Factors of 435
List of positive integer factors of 435 that divides 435 without a remainder.
1,3,5,15,29,87,145,435
Factors of 833
List of positive integer factors of 833 that divides 833 without a remainder.
1,7,17,49,119,833
Factors of 578
List of positive integer factors of 578 that divides 578 without a remainder.
1,2,17,34,289,578
Greatest Common Factor
We found the factors 435,833,578 . The biggest common factor number is the GCF number.
So the greatest common factor 435,833,578 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 65/435, 866/833, 644/578?
Answer: LCM of Numerators as per given numbers 65/435, 866/833, 644/578 is
LCM of Numerators i.e. for 65,866,644 is 18125380
GCF of denominators i.e. for 435,833,578 is 1.
Thus, LCM of Fractions is 18125380.Finally, LCM of Fractions for 65/435, 866/833, 644/578 is 18125380.