Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1892/146, 2055/854 quickly i.e. 1944030 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1892/146, 2055/854 is 1944030.
LCM(1892/146, 2055/854) = 1944030
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1892/146,2055/854
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 1892,2055
Least Common Multiple of Numerators i.e. LCM of 1892,2055 is 3888060.
GCF of Denominators means GCF of 146,854 as per the given fractions.
GCF of 146,854 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1892,2055
Given numbers has no common factors except 1. So, there LCM is their product i.e 3888060
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 1892,2055 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1892,2055) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1892,2055) x common factors =1 x 1 = 1
LCM(1892,2055) = ( 1892 × 2055 ) / 1
LCM(1892,2055) = 3888060 / 1
LCM(1892,2055) = 3888060
Lets's calculate GCF of 146,854
2 | 146, 854 |
73, 427 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3888060/2
Therefore the LCM of Fractions 1892/146,2055/854 is 1944030
Factors of 146
List of positive integer factors of 146 that divides 146 without a remainder.
1,2,73,146
Factors of 854
List of positive integer factors of 854 that divides 854 without a remainder.
1,2,7,14,61,122,427,854
Greatest Common Factor
We found the factors 146,854 . The biggest common factor number is the GCF number.
So the greatest common factor 146,854 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 1892/146, 2055/854?
Answer: LCM of Numerators as per given numbers 1892/146, 2055/854 is
LCM of Numerators i.e. for 1892,2055 is 3888060
GCF of denominators i.e. for 146,854 is 2.
Thus, LCM of Fractions is 1944030.Finally, LCM of Fractions for 1892/146, 2055/854 is 1944030.