Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 621/984, 7471/404 quickly i.e. 4639491/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 621/984, 7471/404 is 4639491/4.
LCM(621/984, 7471/404) = 4639491/4
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 621/984,7471/404
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 621,7471
Least Common Multiple of Numerators i.e. LCM of 621,7471 is 4639491.
GCF of Denominators means GCF of 984,404 as per the given fractions.
GCF of 984,404 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 621,7471
Given numbers has no common factors except 1. So, there LCM is their product i.e 4639491
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 621,7471 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(621,7471) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(621,7471) x common factors =1 x 1 = 1
LCM(621,7471) = ( 621 × 7471 ) / 1
LCM(621,7471) = 4639491 / 1
LCM(621,7471) = 4639491
Lets's calculate GCF of 984,404
2 | 984, 404 |
2 | 492, 202 |
246, 101 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4639491/4
Therefore the LCM of Fractions 621/984,7471/404 is 4639491/4
Factors of 984
List of positive integer factors of 984 that divides 984 without a remainder.
1,2,3,4,6,8,12,24,41,82,123,164,246,328,492,984
Factors of 404
List of positive integer factors of 404 that divides 404 without a remainder.
1,2,4,101,202,404
Greatest Common Factor
We found the factors 984,404 . The biggest common factor number is the GCF number.
So the greatest common factor 984,404 is 4.
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 621/984, 7471/404?
Answer: LCM of Numerators as per given numbers 621/984, 7471/404 is
LCM of Numerators i.e. for 621,7471 is 4639491
GCF of denominators i.e. for 984,404 is 4.
Thus, LCM of Fractions is 4639491/4.Finally, LCM of Fractions for 621/984, 7471/404 is 4639491/4.