Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9084/54, 5189/752 quickly i.e. 23568438 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9084/54, 5189/752 is 23568438.
LCM(9084/54, 5189/752) = 23568438
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9084/54,5189/752
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 9084,5189
Least Common Multiple of Numerators i.e. LCM of 9084,5189 is 47136876.
GCF of Denominators means GCF of 54,752 as per the given fractions.
GCF of 54,752 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9084,5189
Given numbers has no common factors except 1. So, there LCM is their product i.e 47136876
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 9084,5189 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9084,5189) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9084,5189) x common factors =1 x 1 = 1
LCM(9084,5189) = ( 9084 × 5189 ) / 1
LCM(9084,5189) = 47136876 / 1
LCM(9084,5189) = 47136876
Lets's calculate GCF of 54,752
2 | 54, 752 |
27, 376 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47136876/2
Therefore the LCM of Fractions 9084/54,5189/752 is 23568438
Factors of 54
List of positive integer factors of 54 that divides 54 without a remainder.
1,2,3,6,9,18,27,54
Factors of 752
List of positive integer factors of 752 that divides 752 without a remainder.
1,2,4,8,16,47,94,188,376,752
Greatest Common Factor
We found the factors 54,752 . The biggest common factor number is the GCF number.
So the greatest common factor 54,752 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 9084/54, 5189/752?
Answer: LCM of Numerators as per given numbers 9084/54, 5189/752 is
LCM of Numerators i.e. for 9084,5189 is 47136876
GCF of denominators i.e. for 54,752 is 2.
Thus, LCM of Fractions is 23568438.Finally, LCM of Fractions for 9084/54, 5189/752 is 23568438.