Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9440/468, 2545/8022 quickly i.e. 4804960/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9440/468, 2545/8022 is 4804960/6.
LCM(9440/468, 2545/8022) = 4804960/6
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9440/468,2545/8022
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 9440,2545
Least Common Multiple of Numerators i.e. LCM of 9440,2545 is 4804960.
GCF of Denominators means GCF of 468,8022 as per the given fractions.
GCF of 468,8022 is 6 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9440,2545
5 | 9440, 2545 |
1888, 509 |
∴ So the LCM of the given numbers is 5 x 1888 x 509 = 4804960
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 9440,2545 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9440,2545) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(9440,2545) x common factors =5 x 1 = 5
LCM(9440,2545) = ( 9440 × 2545 ) / 5
LCM(9440,2545) = 24024800 / 5
LCM(9440,2545) = 4804960
Lets's calculate GCF of 468,8022
2 | 468, 8022 |
3 | 234, 4011 |
78, 1337 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4804960/6
Therefore the LCM of Fractions 9440/468,2545/8022 is 4804960/6
Factors of 468
List of positive integer factors of 468 that divides 468 without a remainder.
1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468
Factors of 8022
List of positive integer factors of 8022 that divides 8022 without a remainder.
1,2,3,6,7,14,21,42,191,382,573,1146,1337,2674,4011,8022
Greatest Common Factor
We found the factors 468,8022 . The biggest common factor number is the GCF number.
So the greatest common factor 468,8022 is 6.
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 9440/468, 2545/8022?
Answer: LCM of Numerators as per given numbers 9440/468, 2545/8022 is
LCM of Numerators i.e. for 9440,2545 is 4804960
GCF of denominators i.e. for 468,8022 is 6.
Thus, LCM of Fractions is 4804960/6.Finally, LCM of Fractions for 9440/468, 2545/8022 is 4804960/6.