Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 781/419, 800/529, 636/326 quickly i.e. 99343200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 781/419, 800/529, 636/326 is 99343200.
LCM(781/419, 800/529, 636/326) = 99343200
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 781/419,800/529,636/326
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 781,800,636
Least Common Multiple of Numerators i.e. LCM of 781,800,636 is 99343200.
GCF of Denominators means GCF of 419,529,326 as per the given fractions.
GCF of 419,529,326 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 781,800,636
2 | 781, 800, 636 |
2 | 781, 400, 318 |
781, 200, 159 |
∴ So the LCM of the given numbers is 2 x 2 x 781 x 200 x 159 = 99343200
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 781,800,636 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(781,800,636) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(781,800,636) x common factors =1 x 4 = 4
LCM(781,800,636) = ( 781 × 800 × 636 ) / 4
LCM(781,800,636) = 397372800 / 4
LCM(781,800,636) = 99343200
Lets's calculate GCF of 419,529,326
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 99343200/1
Therefore the LCM of Fractions 781/419,800/529,636/326 is 99343200
Factors of 419
List of positive integer factors of 419 that divides 419 without a remainder.
1,419
Factors of 529
List of positive integer factors of 529 that divides 529 without a remainder.
1,23,529
Factors of 326
List of positive integer factors of 326 that divides 326 without a remainder.
1,2,163,326
Greatest Common Factor
We found the factors 419,529,326 . The biggest common factor number is the GCF number.
So the greatest common factor 419,529,326 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 781/419, 800/529, 636/326?
Answer: LCM of Numerators as per given numbers 781/419, 800/529, 636/326 is
LCM of Numerators i.e. for 781,800,636 is 99343200
GCF of denominators i.e. for 419,529,326 is 1.
Thus, LCM of Fractions is 99343200.Finally, LCM of Fractions for 781/419, 800/529, 636/326 is 99343200.