Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9371/833, 1714/1876 quickly i.e. 16061894/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9371/833, 1714/1876 is 16061894/7.
LCM(9371/833, 1714/1876) = 16061894/7
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9371/833,1714/1876
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 9371,1714
Least Common Multiple of Numerators i.e. LCM of 9371,1714 is 16061894.
GCF of Denominators means GCF of 833,1876 as per the given fractions.
GCF of 833,1876 is 7 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9371,1714
Given numbers has no common factors except 1. So, there LCM is their product i.e 16061894
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 9371,1714 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9371,1714) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9371,1714) x common factors =1 x 1 = 1
LCM(9371,1714) = ( 9371 × 1714 ) / 1
LCM(9371,1714) = 16061894 / 1
LCM(9371,1714) = 16061894
Lets's calculate GCF of 833,1876
7 | 833, 1876 |
119, 268 |
∴ So the GCF of the given numbers is 7 = 7
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16061894/7
Therefore the LCM of Fractions 9371/833,1714/1876 is 16061894/7
Factors of 833
List of positive integer factors of 833 that divides 833 without a remainder.
1,7,17,49,119,833
Factors of 1876
List of positive integer factors of 1876 that divides 1876 without a remainder.
1,2,4,7,14,28,67,134,268,469,938,1876
Greatest Common Factor
We found the factors 833,1876 . The biggest common factor number is the GCF number.
So the greatest common factor 833,1876 is 7.
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 9371/833, 1714/1876?
Answer: LCM of Numerators as per given numbers 9371/833, 1714/1876 is
LCM of Numerators i.e. for 9371,1714 is 16061894
GCF of denominators i.e. for 833,1876 is 7.
Thus, LCM of Fractions is 16061894/7.Finally, LCM of Fractions for 9371/833, 1714/1876 is 16061894/7.