Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 342/95, 823/1854 quickly i.e. 281466 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 342/95, 823/1854 is 281466.
LCM(342/95, 823/1854) = 281466
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 342/95,823/1854
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 342,823
Least Common Multiple of Numerators i.e. LCM of 342,823 is 281466.
GCF of Denominators means GCF of 95,1854 as per the given fractions.
GCF of 95,1854 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 342,823
Given numbers has no common factors except 1. So, there LCM is their product i.e 281466
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 342,823 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(342,823) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(342,823) x common factors =1 x 1 = 1
LCM(342,823) = ( 342 × 823 ) / 1
LCM(342,823) = 281466 / 1
LCM(342,823) = 281466
Lets's calculate GCF of 95,1854
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 281466/1
Therefore the LCM of Fractions 342/95,823/1854 is 281466
Factors of 95
List of positive integer factors of 95 that divides 95 without a remainder.
1,5,19,95
Factors of 1854
List of positive integer factors of 1854 that divides 1854 without a remainder.
1,2,3,6,9,18,103,206,309,618,927,1854
Greatest Common Factor
We found the factors 95,1854 . The biggest common factor number is the GCF number.
So the greatest common factor 95,1854 is 1.
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 342/95, 823/1854?
Answer: LCM of Numerators as per given numbers 342/95, 823/1854 is
LCM of Numerators i.e. for 342,823 is 281466
GCF of denominators i.e. for 95,1854 is 1.
Thus, LCM of Fractions is 281466.Finally, LCM of Fractions for 342/95, 823/1854 is 281466.