Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9152/429, 8324/2025 quickly i.e. 19045312/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9152/429, 8324/2025 is 19045312/3.
LCM(9152/429, 8324/2025) = 19045312/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9152/429,8324/2025
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 9152,8324
Least Common Multiple of Numerators i.e. LCM of 9152,8324 is 19045312.
GCF of Denominators means GCF of 429,2025 as per the given fractions.
GCF of 429,2025 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9152,8324
2 | 9152, 8324 |
2 | 4576, 4162 |
2288, 2081 |
∴ So the LCM of the given numbers is 2 x 2 x 2288 x 2081 = 19045312
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 9152,8324 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9152,8324) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(9152,8324) x common factors =4 x 1 = 4
LCM(9152,8324) = ( 9152 × 8324 ) / 4
LCM(9152,8324) = 76181248 / 4
LCM(9152,8324) = 19045312
Lets's calculate GCF of 429,2025
3 | 429, 2025 |
143, 675 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19045312/3
Therefore the LCM of Fractions 9152/429,8324/2025 is 19045312/3
Factors of 429
List of positive integer factors of 429 that divides 429 without a remainder.
1,3,11,13,33,39,143,429
Factors of 2025
List of positive integer factors of 2025 that divides 2025 without a remainder.
1,3,5,9,15,25,27,45,75,81,135,225,405,675,2025
Greatest Common Factor
We found the factors 429,2025 . The biggest common factor number is the GCF number.
So the greatest common factor 429,2025 is 3.
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 9152/429, 8324/2025?
Answer: LCM of Numerators as per given numbers 9152/429, 8324/2025 is
LCM of Numerators i.e. for 9152,8324 is 19045312
GCF of denominators i.e. for 429,2025 is 3.
Thus, LCM of Fractions is 19045312/3.Finally, LCM of Fractions for 9152/429, 8324/2025 is 19045312/3.