Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6029/162, 1038/3132 quickly i.e. 6258102/54 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6029/162, 1038/3132 is 6258102/54.
LCM(6029/162, 1038/3132) = 6258102/54
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6029/162,1038/3132
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 6029,1038
Least Common Multiple of Numerators i.e. LCM of 6029,1038 is 6258102.
GCF of Denominators means GCF of 162,3132 as per the given fractions.
GCF of 162,3132 is 54 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6029,1038
Given numbers has no common factors except 1. So, there LCM is their product i.e 6258102
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 6029,1038 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6029,1038) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(6029,1038) x common factors =1 x 1 = 1
LCM(6029,1038) = ( 6029 × 1038 ) / 1
LCM(6029,1038) = 6258102 / 1
LCM(6029,1038) = 6258102
Lets's calculate GCF of 162,3132
2 | 162, 3132 |
3 | 81, 1566 |
3 | 27, 522 |
3 | 9, 174 |
3, 58 |
∴ So the GCF of the given numbers is 2 x 3 x 3 x 3 = 54
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6258102/54
Therefore the LCM of Fractions 6029/162,1038/3132 is 6258102/54
Factors of 162
List of positive integer factors of 162 that divides 162 without a remainder.
1,2,3,6,9,18,27,54,81,162
Factors of 3132
List of positive integer factors of 3132 that divides 3132 without a remainder.
1,2,3,4,6,9,12,18,27,29,36,54,58,87,108,116,174,261,348,522,783,1044,1566,3132
Greatest Common Factor
We found the factors 162,3132 . The biggest common factor number is the GCF number.
So the greatest common factor 162,3132 is 54.
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 6029/162, 1038/3132?
Answer: LCM of Numerators as per given numbers 6029/162, 1038/3132 is
LCM of Numerators i.e. for 6029,1038 is 6258102
GCF of denominators i.e. for 162,3132 is 54.
Thus, LCM of Fractions is 6258102/54.Finally, LCM of Fractions for 6029/162, 1038/3132 is 6258102/54.