Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9013/318, 4572/6364 quickly i.e. 20603718 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9013/318, 4572/6364 is 20603718.
LCM(9013/318, 4572/6364) = 20603718
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9013/318,4572/6364
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 9013,4572
Least Common Multiple of Numerators i.e. LCM of 9013,4572 is 41207436.
GCF of Denominators means GCF of 318,6364 as per the given fractions.
GCF of 318,6364 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9013,4572
Given numbers has no common factors except 1. So, there LCM is their product i.e 41207436
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 9013,4572 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9013,4572) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9013,4572) x common factors =1 x 1 = 1
LCM(9013,4572) = ( 9013 × 4572 ) / 1
LCM(9013,4572) = 41207436 / 1
LCM(9013,4572) = 41207436
Lets's calculate GCF of 318,6364
2 | 318, 6364 |
159, 3182 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41207436/2
Therefore the LCM of Fractions 9013/318,4572/6364 is 20603718
Factors of 318
List of positive integer factors of 318 that divides 318 without a remainder.
1,2,3,6,53,106,159,318
Factors of 6364
List of positive integer factors of 6364 that divides 6364 without a remainder.
1,2,4,37,43,74,86,148,172,1591,3182,6364
Greatest Common Factor
We found the factors 318,6364 . The biggest common factor number is the GCF number.
So the greatest common factor 318,6364 is 2.
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 9013/318, 4572/6364?
Answer: LCM of Numerators as per given numbers 9013/318, 4572/6364 is
LCM of Numerators i.e. for 9013,4572 is 41207436
GCF of denominators i.e. for 318,6364 is 2.
Thus, LCM of Fractions is 20603718.Finally, LCM of Fractions for 9013/318, 4572/6364 is 20603718.