Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2063/162, 1228/904 quickly i.e. 1266682 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2063/162, 1228/904 is 1266682.
LCM(2063/162, 1228/904) = 1266682
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2063/162,1228/904
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 2063,1228
Least Common Multiple of Numerators i.e. LCM of 2063,1228 is 2533364.
GCF of Denominators means GCF of 162,904 as per the given fractions.
GCF of 162,904 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2063,1228
Given numbers has no common factors except 1. So, there LCM is their product i.e 2533364
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 2063,1228 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2063,1228) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2063,1228) x common factors =1 x 1 = 1
LCM(2063,1228) = ( 2063 × 1228 ) / 1
LCM(2063,1228) = 2533364 / 1
LCM(2063,1228) = 2533364
Lets's calculate GCF of 162,904
2 | 162, 904 |
81, 452 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2533364/2
Therefore the LCM of Fractions 2063/162,1228/904 is 1266682
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 904
List of positive integer factors of 904 that divides 904 without a remainder.
1,2,4,8,113,226,452,904
Greatest Common Factor
We found the factors 162,904 . The biggest common factor number is the GCF number.
So the greatest common factor 162,904 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 2063/162, 1228/904?
Answer: LCM of Numerators as per given numbers 2063/162, 1228/904 is
LCM of Numerators i.e. for 2063,1228 is 2533364
GCF of denominators i.e. for 162,904 is 2.
Thus, LCM of Fractions is 1266682.Finally, LCM of Fractions for 2063/162, 1228/904 is 1266682.