Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9329/340, 3602/876 quickly i.e. 33603058/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9329/340, 3602/876 is 33603058/4.
LCM(9329/340, 3602/876) = 33603058/4
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9329/340,3602/876
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 9329,3602
Least Common Multiple of Numerators i.e. LCM of 9329,3602 is 33603058.
GCF of Denominators means GCF of 340,876 as per the given fractions.
GCF of 340,876 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9329,3602
Given numbers has no common factors except 1. So, there LCM is their product i.e 33603058
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 9329,3602 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9329,3602) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9329,3602) x common factors =1 x 1 = 1
LCM(9329,3602) = ( 9329 × 3602 ) / 1
LCM(9329,3602) = 33603058 / 1
LCM(9329,3602) = 33603058
Lets's calculate GCF of 340,876
2 | 340, 876 |
2 | 170, 438 |
85, 219 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33603058/4
Therefore the LCM of Fractions 9329/340,3602/876 is 33603058/4
Factors of 340
List of positive integer factors of 340 that divides 340 without a remainder.
1,2,4,5,10,17,20,34,68,85,170,340
Factors of 876
List of positive integer factors of 876 that divides 876 without a remainder.
1,2,3,4,6,12,73,146,219,292,438,876
Greatest Common Factor
We found the factors 340,876 . The biggest common factor number is the GCF number.
So the greatest common factor 340,876 is 4.
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 9329/340, 3602/876?
Answer: LCM of Numerators as per given numbers 9329/340, 3602/876 is
LCM of Numerators i.e. for 9329,3602 is 33603058
GCF of denominators i.e. for 340,876 is 4.
Thus, LCM of Fractions is 33603058/4.Finally, LCM of Fractions for 9329/340, 3602/876 is 33603058/4.