Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 33/858, 83/444, 595/252 quickly i.e. 1629705/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 33/858, 83/444, 595/252 is 1629705/6.
LCM(33/858, 83/444, 595/252) = 1629705/6
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 33/858,83/444,595/252
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 33,83,595
Least Common Multiple of Numerators i.e. LCM of 33,83,595 is 1629705.
GCF of Denominators means GCF of 858,444,252 as per the given fractions.
GCF of 858,444,252 is 6 as it is the largest common factor for these numbers.
Lets's calculate LCM of 33,83,595
Given numbers has no common factors except 1. So, there LCM is their product i.e 1629705
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 33,83,595 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(33,83,595) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(33,83,595) x common factors =1 x 1 = 1
LCM(33,83,595) = ( 33 × 83 × 595 ) / 1
LCM(33,83,595) = 1629705 / 1
LCM(33,83,595) = 1629705
Lets's calculate GCF of 858,444,252
2 | 858, 444, 252 |
3 | 429, 222, 126 |
143, 74, 42 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1629705/6
Therefore the LCM of Fractions 33/858,83/444,595/252 is 1629705/6
Factors of 858
List of positive integer factors of 858 that divides 858 without a remainder.
1,2,3,6,11,13,22,26,33,39,66,78,143,286,429,858
Factors of 444
List of positive integer factors of 444 that divides 444 without a remainder.
1,2,3,4,6,12,37,74,111,148,222,444
Factors of 252
List of positive integer factors of 252 that divides 252 without a remainder.
1,2,3,4,6,7,9,12,14,18,21,28,36,42,63,84,126,252
Greatest Common Factor
We found the factors 858,444,252 . The biggest common factor number is the GCF number.
So the greatest common factor 858,444,252 is 6.
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 33/858, 83/444, 595/252?
Answer: LCM of Numerators as per given numbers 33/858, 83/444, 595/252 is
LCM of Numerators i.e. for 33,83,595 is 1629705
GCF of denominators i.e. for 858,444,252 is 6.
Thus, LCM of Fractions is 1629705/6.Finally, LCM of Fractions for 33/858, 83/444, 595/252 is 1629705/6.