Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 858/803, 3923/858 quickly i.e. 305994 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 858/803, 3923/858 is 305994.
LCM(858/803, 3923/858) = 305994
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 858/803,3923/858
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 858,3923
Least Common Multiple of Numerators i.e. LCM of 858,3923 is 3365934.
GCF of Denominators means GCF of 803,858 as per the given fractions.
GCF of 803,858 is 11 as it is the largest common factor for these numbers.
Lets's calculate LCM of 858,3923
Given numbers has no common factors except 1. So, there LCM is their product i.e 3365934
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 858,3923 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(858,3923) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(858,3923) x common factors =1 x 1 = 1
LCM(858,3923) = ( 858 × 3923 ) / 1
LCM(858,3923) = 3365934 / 1
LCM(858,3923) = 3365934
Lets's calculate GCF of 803,858
11 | 803, 858 |
73, 78 |
∴ So the GCF of the given numbers is 11 = 11
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3365934/11
Therefore the LCM of Fractions 858/803,3923/858 is 305994
Factors of 803
List of positive integer factors of 803 that divides 803 without a remainder.
1,11,73,803
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
Greatest Common Factor
We found the factors 803,858 . The biggest common factor number is the GCF number.
So the greatest common factor 803,858 is 11.
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 858/803, 3923/858?
Answer: LCM of Numerators as per given numbers 858/803, 3923/858 is
LCM of Numerators i.e. for 858,3923 is 3365934
GCF of denominators i.e. for 803,858 is 11.
Thus, LCM of Fractions is 305994.Finally, LCM of Fractions for 858/803, 3923/858 is 305994.