Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3644/943, 8465/988 quickly i.e. 30846460 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3644/943, 8465/988 is 30846460.
LCM(3644/943, 8465/988) = 30846460
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3644/943,8465/988
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 3644,8465
Least Common Multiple of Numerators i.e. LCM of 3644,8465 is 30846460.
GCF of Denominators means GCF of 943,988 as per the given fractions.
GCF of 943,988 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3644,8465
Given numbers has no common factors except 1. So, there LCM is their product i.e 30846460
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 3644,8465 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3644,8465) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3644,8465) x common factors =1 x 1 = 1
LCM(3644,8465) = ( 3644 × 8465 ) / 1
LCM(3644,8465) = 30846460 / 1
LCM(3644,8465) = 30846460
Lets's calculate GCF of 943,988
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30846460/1
Therefore the LCM of Fractions 3644/943,8465/988 is 30846460
Factors of 943
List of positive integer factors of 943 that divides 943 without a remainder.
1,23,41,943
Factors of 988
List of positive integer factors of 988 that divides 988 without a remainder.
1,2,4,13,19,26,38,52,76,247,494,988
Greatest Common Factor
We found the factors 943,988 . The biggest common factor number is the GCF number.
So the greatest common factor 943,988 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 3644/943, 8465/988?
Answer: LCM of Numerators as per given numbers 3644/943, 8465/988 is
LCM of Numerators i.e. for 3644,8465 is 30846460
GCF of denominators i.e. for 943,988 is 1.
Thus, LCM of Fractions is 30846460.Finally, LCM of Fractions for 3644/943, 8465/988 is 30846460.