Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3705/211, 9353/8892 quickly i.e. 34652865 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3705/211, 9353/8892 is 34652865.
LCM(3705/211, 9353/8892) = 34652865
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3705/211,9353/8892
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 3705,9353
Least Common Multiple of Numerators i.e. LCM of 3705,9353 is 34652865.
GCF of Denominators means GCF of 211,8892 as per the given fractions.
GCF of 211,8892 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3705,9353
Given numbers has no common factors except 1. So, there LCM is their product i.e 34652865
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 3705,9353 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3705,9353) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3705,9353) x common factors =1 x 1 = 1
LCM(3705,9353) = ( 3705 × 9353 ) / 1
LCM(3705,9353) = 34652865 / 1
LCM(3705,9353) = 34652865
Lets's calculate GCF of 211,8892
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34652865/1
Therefore the LCM of Fractions 3705/211,9353/8892 is 34652865
Factors of 211
List of positive integer factors of 211 that divides 211 without a remainder.
1,211
Factors of 8892
List of positive integer factors of 8892 that divides 8892 without a remainder.
1,2,3,4,6,9,12,13,18,19,26,36,38,39,52,57,76,78,114,117,156,171,228,234,247,342,468,494,684,741,988,1482,2223,2964,4446,8892
Greatest Common Factor
We found the factors 211,8892 . The biggest common factor number is the GCF number.
So the greatest common factor 211,8892 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 3705/211, 9353/8892?
Answer: LCM of Numerators as per given numbers 3705/211, 9353/8892 is
LCM of Numerators i.e. for 3705,9353 is 34652865
GCF of denominators i.e. for 211,8892 is 1.
Thus, LCM of Fractions is 34652865.Finally, LCM of Fractions for 3705/211, 9353/8892 is 34652865.