Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7324/718, 6434/9222 quickly i.e. 11780654 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7324/718, 6434/9222 is 11780654.
LCM(7324/718, 6434/9222) = 11780654
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7324/718,6434/9222
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 7324,6434
Least Common Multiple of Numerators i.e. LCM of 7324,6434 is 23561308.
GCF of Denominators means GCF of 718,9222 as per the given fractions.
GCF of 718,9222 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7324,6434
2 | 7324, 6434 |
3662, 3217 |
∴ So the LCM of the given numbers is 2 x 3662 x 3217 = 23561308
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 7324,6434 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7324,6434) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(7324,6434) x common factors =2 x 1 = 2
LCM(7324,6434) = ( 7324 × 6434 ) / 2
LCM(7324,6434) = 47122616 / 2
LCM(7324,6434) = 23561308
Lets's calculate GCF of 718,9222
2 | 718, 9222 |
359, 4611 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23561308/2
Therefore the LCM of Fractions 7324/718,6434/9222 is 11780654
Factors of 718
List of positive integer factors of 718 that divides 718 without a remainder.
1,2,359,718
Factors of 9222
List of positive integer factors of 9222 that divides 9222 without a remainder.
1,2,3,6,29,53,58,87,106,159,174,318,1537,3074,4611,9222
Greatest Common Factor
We found the factors 718,9222 . The biggest common factor number is the GCF number.
So the greatest common factor 718,9222 is 2.
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 7324/718, 6434/9222?
Answer: LCM of Numerators as per given numbers 7324/718, 6434/9222 is
LCM of Numerators i.e. for 7324,6434 is 23561308
GCF of denominators i.e. for 718,9222 is 2.
Thus, LCM of Fractions is 11780654.Finally, LCM of Fractions for 7324/718, 6434/9222 is 11780654.