Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 103/858, 3091/671 quickly i.e. 28943 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 103/858, 3091/671 is 28943.
LCM(103/858, 3091/671) = 28943
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 103/858,3091/671
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 103,3091
Least Common Multiple of Numerators i.e. LCM of 103,3091 is 318373.
GCF of Denominators means GCF of 858,671 as per the given fractions.
GCF of 858,671 is 11 as it is the largest common factor for these numbers.
Lets's calculate LCM of 103,3091
Given numbers has no common factors except 1. So, there LCM is their product i.e 318373
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 103,3091 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(103,3091) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(103,3091) x common factors =1 x 1 = 1
LCM(103,3091) = ( 103 × 3091 ) / 1
LCM(103,3091) = 318373 / 1
LCM(103,3091) = 318373
Lets's calculate GCF of 858,671
11 | 858, 671 |
78, 61 |
∴ So the GCF of the given numbers is 11 = 11
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 318373/11
Therefore the LCM of Fractions 103/858,3091/671 is 28943
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 671
List of positive integer factors of 671 that divides 671 without a remainder.
1,11,61,671
Greatest Common Factor
We found the factors 858,671 . The biggest common factor number is the GCF number.
So the greatest common factor 858,671 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 103/858, 3091/671?
Answer: LCM of Numerators as per given numbers 103/858, 3091/671 is
LCM of Numerators i.e. for 103,3091 is 318373
GCF of denominators i.e. for 858,671 is 11.
Thus, LCM of Fractions is 28943.Finally, LCM of Fractions for 103/858, 3091/671 is 28943.