Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 94/262, 1466/1843 quickly i.e. 68902 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 94/262, 1466/1843 is 68902.
LCM(94/262, 1466/1843) = 68902
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 94/262,1466/1843
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 94,1466
Least Common Multiple of Numerators i.e. LCM of 94,1466 is 68902.
GCF of Denominators means GCF of 262,1843 as per the given fractions.
GCF of 262,1843 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 94,1466
2 | 94, 1466 |
47, 733 |
∴ So the LCM of the given numbers is 2 x 47 x 733 = 68902
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 94,1466 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(94,1466) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(94,1466) x common factors =2 x 1 = 2
LCM(94,1466) = ( 94 × 1466 ) / 2
LCM(94,1466) = 137804 / 2
LCM(94,1466) = 68902
Lets's calculate GCF of 262,1843
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 68902/1
Therefore the LCM of Fractions 94/262,1466/1843 is 68902
Factors of 262
List of positive integer factors of 262 that divides 262 without a remainder.
1,2,131,262
Factors of 1843
List of positive integer factors of 1843 that divides 1843 without a remainder.
1,19,97,1843
Greatest Common Factor
We found the factors 262,1843 . The biggest common factor number is the GCF number.
So the greatest common factor 262,1843 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 94/262, 1466/1843?
Answer: LCM of Numerators as per given numbers 94/262, 1466/1843 is
LCM of Numerators i.e. for 94,1466 is 68902
GCF of denominators i.e. for 262,1843 is 1.
Thus, LCM of Fractions is 68902.Finally, LCM of Fractions for 94/262, 1466/1843 is 68902.