Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6026/54, 1044/645 quickly i.e. 1048524 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6026/54, 1044/645 is 1048524.
LCM(6026/54, 1044/645) = 1048524
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6026/54,1044/645
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 6026,1044
Least Common Multiple of Numerators i.e. LCM of 6026,1044 is 3145572.
GCF of Denominators means GCF of 54,645 as per the given fractions.
GCF of 54,645 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6026,1044
2 | 6026, 1044 |
3013, 522 |
∴ So the LCM of the given numbers is 2 x 3013 x 522 = 3145572
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 6026,1044 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6026,1044) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(6026,1044) x common factors =2 x 1 = 2
LCM(6026,1044) = ( 6026 × 1044 ) / 2
LCM(6026,1044) = 6291144 / 2
LCM(6026,1044) = 3145572
Lets's calculate GCF of 54,645
3 | 54, 645 |
18, 215 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3145572/3
Therefore the LCM of Fractions 6026/54,1044/645 is 1048524
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 645
List of positive integer factors of 645 that divides 645 without a remainder.
1,3,5,15,43,129,215,645
Greatest Common Factor
We found the factors 54,645 . The biggest common factor number is the GCF number.
So the greatest common factor 54,645 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 6026/54, 1044/645?
Answer: LCM of Numerators as per given numbers 6026/54, 1044/645 is
LCM of Numerators i.e. for 6026,1044 is 3145572
GCF of denominators i.e. for 54,645 is 3.
Thus, LCM of Fractions is 1048524.Finally, LCM of Fractions for 6026/54, 1044/645 is 1048524.