Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2309/924, 4802/605 quickly i.e. 11087818/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2309/924, 4802/605 is 11087818/11.
LCM(2309/924, 4802/605) = 11087818/11
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2309/924,4802/605
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 2309,4802
Least Common Multiple of Numerators i.e. LCM of 2309,4802 is 11087818.
GCF of Denominators means GCF of 924,605 as per the given fractions.
GCF of 924,605 is 11 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2309,4802
Given numbers has no common factors except 1. So, there LCM is their product i.e 11087818
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 2309,4802 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2309,4802) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2309,4802) x common factors =1 x 1 = 1
LCM(2309,4802) = ( 2309 × 4802 ) / 1
LCM(2309,4802) = 11087818 / 1
LCM(2309,4802) = 11087818
Lets's calculate GCF of 924,605
11 | 924, 605 |
84, 55 |
∴ So the GCF of the given numbers is 11 = 11
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11087818/11
Therefore the LCM of Fractions 2309/924,4802/605 is 11087818/11
Factors of 924
List of positive integer factors of 924 that divides 924 without a remainder.
1,2,3,4,6,7,11,12,14,21,22,28,33,42,44,66,77,84,132,154,231,308,462,924
Factors of 605
List of positive integer factors of 605 that divides 605 without a remainder.
1,5,11,55,121,605
Greatest Common Factor
We found the factors 924,605 . The biggest common factor number is the GCF number.
So the greatest common factor 924,605 is 11.
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 2309/924, 4802/605?
Answer: LCM of Numerators as per given numbers 2309/924, 4802/605 is
LCM of Numerators i.e. for 2309,4802 is 11087818
GCF of denominators i.e. for 924,605 is 11.
Thus, LCM of Fractions is 11087818/11.Finally, LCM of Fractions for 2309/924, 4802/605 is 11087818/11.