Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 81/429, 855/93, 793/453 quickly i.e. 2034045 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 81/429, 855/93, 793/453 is 2034045.
LCM(81/429, 855/93, 793/453) = 2034045
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 81/429,855/93,793/453
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 81,855,793
Least Common Multiple of Numerators i.e. LCM of 81,855,793 is 6102135.
GCF of Denominators means GCF of 429,93,453 as per the given fractions.
GCF of 429,93,453 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 81,855,793
3 | 81, 855, 793 |
3 | 27, 285, 793 |
9, 95, 793 |
∴ So the LCM of the given numbers is 3 x 3 x 9 x 95 x 793 = 6102135
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 81,855,793 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(81,855,793) = 1
common factors(in case of two or more numbers have common factors) = 9
GCF(81,855,793) x common factors =1 x 9 = 9
LCM(81,855,793) = ( 81 × 855 × 793 ) / 9
LCM(81,855,793) = 54919215 / 9
LCM(81,855,793) = 6102135
Lets's calculate GCF of 429,93,453
3 | 429, 93, 453 |
143, 31, 151 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6102135/3
Therefore the LCM of Fractions 81/429,855/93,793/453 is 2034045
Factors of 429
List of positive integer factors of 429 that divides 429 without a remainder.
1,3,11,13,33,39,143,429
Factors of 93
List of positive integer factors of 93 that divides 93 without a remainder.
1,3,31,93
Factors of 453
List of positive integer factors of 453 that divides 453 without a remainder.
1,3,151,453
Greatest Common Factor
We found the factors 429,93,453 . The biggest common factor number is the GCF number.
So the greatest common factor 429,93,453 is 3.
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 81/429, 855/93, 793/453?
Answer: LCM of Numerators as per given numbers 81/429, 855/93, 793/453 is
LCM of Numerators i.e. for 81,855,793 is 6102135
GCF of denominators i.e. for 429,93,453 is 3.
Thus, LCM of Fractions is 2034045.Finally, LCM of Fractions for 81/429, 855/93, 793/453 is 2034045.