Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 232/226, 785/422 quickly i.e. 91060 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 232/226, 785/422 is 91060.
LCM(232/226, 785/422) = 91060
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 232/226,785/422
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 232,785
Least Common Multiple of Numerators i.e. LCM of 232,785 is 182120.
GCF of Denominators means GCF of 226,422 as per the given fractions.
GCF of 226,422 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 232,785
Given numbers has no common factors except 1. So, there LCM is their product i.e 182120
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 232,785 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(232,785) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(232,785) x common factors =1 x 1 = 1
LCM(232,785) = ( 232 × 785 ) / 1
LCM(232,785) = 182120 / 1
LCM(232,785) = 182120
Lets's calculate GCF of 226,422
2 | 226, 422 |
113, 211 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 182120/2
Therefore the LCM of Fractions 232/226,785/422 is 91060
Factors of 226
List of positive integer factors of 226 that divides 226 without a remainder.
1,2,113,226
Factors of 422
List of positive integer factors of 422 that divides 422 without a remainder.
1,2,211,422
Greatest Common Factor
We found the factors 226,422 . The biggest common factor number is the GCF number.
So the greatest common factor 226,422 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 232/226, 785/422?
Answer: LCM of Numerators as per given numbers 232/226, 785/422 is
LCM of Numerators i.e. for 232,785 is 182120
GCF of denominators i.e. for 226,422 is 2.
Thus, LCM of Fractions is 91060.Finally, LCM of Fractions for 232/226, 785/422 is 91060.