Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 699/945, 7361/3388 quickly i.e. 5145339/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 699/945, 7361/3388 is 5145339/7.
LCM(699/945, 7361/3388) = 5145339/7
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 699/945,7361/3388
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 699,7361
Least Common Multiple of Numerators i.e. LCM of 699,7361 is 5145339.
GCF of Denominators means GCF of 945,3388 as per the given fractions.
GCF of 945,3388 is 7 as it is the largest common factor for these numbers.
Lets's calculate LCM of 699,7361
Given numbers has no common factors except 1. So, there LCM is their product i.e 5145339
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 699,7361 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(699,7361) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(699,7361) x common factors =1 x 1 = 1
LCM(699,7361) = ( 699 × 7361 ) / 1
LCM(699,7361) = 5145339 / 1
LCM(699,7361) = 5145339
Lets's calculate GCF of 945,3388
7 | 945, 3388 |
135, 484 |
∴ So the GCF of the given numbers is 7 = 7
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5145339/7
Therefore the LCM of Fractions 699/945,7361/3388 is 5145339/7
Factors of 945
List of positive integer factors of 945 that divides 945 without a remainder.
1,3,5,7,9,15,21,27,35,45,63,105,135,189,315,945
Factors of 3388
List of positive integer factors of 3388 that divides 3388 without a remainder.
1,2,4,7,11,14,22,28,44,77,121,154,242,308,484,847,1694,3388
Greatest Common Factor
We found the factors 945,3388 . The biggest common factor number is the GCF number.
So the greatest common factor 945,3388 is 7.
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 699/945, 7361/3388?
Answer: LCM of Numerators as per given numbers 699/945, 7361/3388 is
LCM of Numerators i.e. for 699,7361 is 5145339
GCF of denominators i.e. for 945,3388 is 7.
Thus, LCM of Fractions is 5145339/7.Finally, LCM of Fractions for 699/945, 7361/3388 is 5145339/7.