Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 230/436, 7698/121 quickly i.e. 885270 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 230/436, 7698/121 is 885270.
LCM(230/436, 7698/121) = 885270
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 230/436,7698/121
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 230,7698
Least Common Multiple of Numerators i.e. LCM of 230,7698 is 885270.
GCF of Denominators means GCF of 436,121 as per the given fractions.
GCF of 436,121 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 230,7698
2 | 230, 7698 |
115, 3849 |
∴ So the LCM of the given numbers is 2 x 115 x 3849 = 885270
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 230,7698 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(230,7698) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(230,7698) x common factors =2 x 1 = 2
LCM(230,7698) = ( 230 × 7698 ) / 2
LCM(230,7698) = 1770540 / 2
LCM(230,7698) = 885270
Lets's calculate GCF of 436,121
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 885270/1
Therefore the LCM of Fractions 230/436,7698/121 is 885270
Factors of 436
List of positive integer factors of 436 that divides 436 without a remainder.
1,2,4,109,218,436
Factors of 121
List of positive integer factors of 121 that divides 121 without a remainder.
1,11,121
Greatest Common Factor
We found the factors 436,121 . The biggest common factor number is the GCF number.
So the greatest common factor 436,121 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 230/436, 7698/121?
Answer: LCM of Numerators as per given numbers 230/436, 7698/121 is
LCM of Numerators i.e. for 230,7698 is 885270
GCF of denominators i.e. for 436,121 is 1.
Thus, LCM of Fractions is 885270.Finally, LCM of Fractions for 230/436, 7698/121 is 885270.