Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 359/230, 8272/234 quickly i.e. 1484824 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 359/230, 8272/234 is 1484824.
LCM(359/230, 8272/234) = 1484824
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 359/230,8272/234
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 359,8272
Least Common Multiple of Numerators i.e. LCM of 359,8272 is 2969648.
GCF of Denominators means GCF of 230,234 as per the given fractions.
GCF of 230,234 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 359,8272
Given numbers has no common factors except 1. So, there LCM is their product i.e 2969648
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 359,8272 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(359,8272) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(359,8272) x common factors =1 x 1 = 1
LCM(359,8272) = ( 359 × 8272 ) / 1
LCM(359,8272) = 2969648 / 1
LCM(359,8272) = 2969648
Lets's calculate GCF of 230,234
2 | 230, 234 |
115, 117 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2969648/2
Therefore the LCM of Fractions 359/230,8272/234 is 1484824
Factors of 230
List of positive integer factors of 230 that divides 230 without a remainder.
1,2,5,10,23,46,115,230
Factors of 234
List of positive integer factors of 234 that divides 234 without a remainder.
1,2,3,6,9,13,18,26,39,78,117,234
Greatest Common Factor
We found the factors 230,234 . The biggest common factor number is the GCF number.
So the greatest common factor 230,234 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 359/230, 8272/234?
Answer: LCM of Numerators as per given numbers 359/230, 8272/234 is
LCM of Numerators i.e. for 359,8272 is 2969648
GCF of denominators i.e. for 230,234 is 2.
Thus, LCM of Fractions is 1484824.Finally, LCM of Fractions for 359/230, 8272/234 is 1484824.