Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4389/132, 1122/1029 quickly i.e. 49742 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4389/132, 1122/1029 is 49742.
LCM(4389/132, 1122/1029) = 49742
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4389/132,1122/1029
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 4389,1122
Least Common Multiple of Numerators i.e. LCM of 4389,1122 is 149226.
GCF of Denominators means GCF of 132,1029 as per the given fractions.
GCF of 132,1029 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4389,1122
3 | 4389, 1122 |
11 | 1463, 374 |
133, 34 |
∴ So the LCM of the given numbers is 3 x 11 x 133 x 34 = 149226
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 4389,1122 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4389,1122) = 33
common factors(in case of two or more numbers have common factors) = 1
GCF(4389,1122) x common factors =33 x 1 = 33
LCM(4389,1122) = ( 4389 × 1122 ) / 33
LCM(4389,1122) = 4924458 / 33
LCM(4389,1122) = 149226
Lets's calculate GCF of 132,1029
3 | 132, 1029 |
44, 343 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 149226/3
Therefore the LCM of Fractions 4389/132,1122/1029 is 49742
Factors of 132
List of positive integer factors of 132 that divides 132 without a remainder.
1,2,3,4,6,11,12,22,33,44,66,132
Factors of 1029
List of positive integer factors of 1029 that divides 1029 without a remainder.
1,3,7,21,49,147,343,1029
Greatest Common Factor
We found the factors 132,1029 . The biggest common factor number is the GCF number.
So the greatest common factor 132,1029 is 3.
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 4389/132, 1122/1029?
Answer: LCM of Numerators as per given numbers 4389/132, 1122/1029 is
LCM of Numerators i.e. for 4389,1122 is 149226
GCF of denominators i.e. for 132,1029 is 3.
Thus, LCM of Fractions is 49742.Finally, LCM of Fractions for 4389/132, 1122/1029 is 49742.