Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 55/424, 5512/7704 quickly i.e. 37895 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 55/424, 5512/7704 is 37895.
LCM(55/424, 5512/7704) = 37895
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 55/424,5512/7704
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 55,5512
Least Common Multiple of Numerators i.e. LCM of 55,5512 is 303160.
GCF of Denominators means GCF of 424,7704 as per the given fractions.
GCF of 424,7704 is 8 as it is the largest common factor for these numbers.
Lets's calculate LCM of 55,5512
Given numbers has no common factors except 1. So, there LCM is their product i.e 303160
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 55,5512 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(55,5512) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(55,5512) x common factors =1 x 1 = 1
LCM(55,5512) = ( 55 × 5512 ) / 1
LCM(55,5512) = 303160 / 1
LCM(55,5512) = 303160
Lets's calculate GCF of 424,7704
2 | 424, 7704 |
2 | 212, 3852 |
2 | 106, 1926 |
53, 963 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 303160/8
Therefore the LCM of Fractions 55/424,5512/7704 is 37895
Factors of 424
List of positive integer factors of 424 that divides 424 without a remainder.
1,2,4,8,53,106,212,424
Factors of 7704
List of positive integer factors of 7704 that divides 7704 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,72,107,214,321,428,642,856,963,1284,1926,2568,3852,7704
Greatest Common Factor
We found the factors 424,7704 . The biggest common factor number is the GCF number.
So the greatest common factor 424,7704 is 8.
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 55/424, 5512/7704?
Answer: LCM of Numerators as per given numbers 55/424, 5512/7704 is
LCM of Numerators i.e. for 55,5512 is 303160
GCF of denominators i.e. for 424,7704 is 8.
Thus, LCM of Fractions is 37895.Finally, LCM of Fractions for 55/424, 5512/7704 is 37895.