Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 933/70, 846/85, 866/443 quickly i.e. 113924898 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 933/70, 846/85, 866/443 is 113924898.
LCM(933/70, 846/85, 866/443) = 113924898
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 933/70,846/85,866/443
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 933,846,866
Least Common Multiple of Numerators i.e. LCM of 933,846,866 is 113924898.
GCF of Denominators means GCF of 70,85,443 as per the given fractions.
GCF of 70,85,443 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 933,846,866
2 | 933, 846, 866 |
3 | 933, 423, 433 |
311, 141, 433 |
∴ So the LCM of the given numbers is 2 x 3 x 311 x 141 x 433 = 113924898
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 933,846,866 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(933,846,866) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(933,846,866) x common factors =1 x 6 = 6
LCM(933,846,866) = ( 933 × 846 × 866 ) / 6
LCM(933,846,866) = 683549388 / 6
LCM(933,846,866) = 113924898
Lets's calculate GCF of 70,85,443
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 113924898/1
Therefore the LCM of Fractions 933/70,846/85,866/443 is 113924898
Factors of 70
List of positive integer factors of 70 that divides 70 without a remainder.
1,2,5,7,10,14,35,70
Factors of 85
List of positive integer factors of 85 that divides 85 without a remainder.
1,5,17,85
Factors of 443
List of positive integer factors of 443 that divides 443 without a remainder.
1,443
Greatest Common Factor
We found the factors 70,85,443 . The biggest common factor number is the GCF number.
So the greatest common factor 70,85,443 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 933/70, 846/85, 866/443?
Answer: LCM of Numerators as per given numbers 933/70, 846/85, 866/443 is
LCM of Numerators i.e. for 933,846,866 is 113924898
GCF of denominators i.e. for 70,85,443 is 1.
Thus, LCM of Fractions is 113924898.Finally, LCM of Fractions for 933/70, 846/85, 866/443 is 113924898.