Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7407/299, 1189/920 quickly i.e. 8806923/23 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7407/299, 1189/920 is 8806923/23.
LCM(7407/299, 1189/920) = 8806923/23
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7407/299,1189/920
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 7407,1189
Least Common Multiple of Numerators i.e. LCM of 7407,1189 is 8806923.
GCF of Denominators means GCF of 299,920 as per the given fractions.
GCF of 299,920 is 23 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7407,1189
Given numbers has no common factors except 1. So, there LCM is their product i.e 8806923
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 7407,1189 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7407,1189) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7407,1189) x common factors =1 x 1 = 1
LCM(7407,1189) = ( 7407 × 1189 ) / 1
LCM(7407,1189) = 8806923 / 1
LCM(7407,1189) = 8806923
Lets's calculate GCF of 299,920
23 | 299, 920 |
13, 40 |
∴ So the GCF of the given numbers is 23 = 23
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8806923/23
Therefore the LCM of Fractions 7407/299,1189/920 is 8806923/23
Factors of 299
List of positive integer factors of 299 that divides 299 without a remainder.
1,13,23,299
Factors of 920
List of positive integer factors of 920 that divides 920 without a remainder.
1,2,4,5,8,10,20,23,40,46,92,115,184,230,460,920
Greatest Common Factor
We found the factors 299,920 . The biggest common factor number is the GCF number.
So the greatest common factor 299,920 is 23.
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 7407/299, 1189/920?
Answer: LCM of Numerators as per given numbers 7407/299, 1189/920 is
LCM of Numerators i.e. for 7407,1189 is 8806923
GCF of denominators i.e. for 299,920 is 23.
Thus, LCM of Fractions is 8806923/23.Finally, LCM of Fractions for 7407/299, 1189/920 is 8806923/23.