Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 865/672, 8544/7425 quickly i.e. 2463520 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 865/672, 8544/7425 is 2463520.
LCM(865/672, 8544/7425) = 2463520
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 865/672,8544/7425
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 865,8544
Least Common Multiple of Numerators i.e. LCM of 865,8544 is 7390560.
GCF of Denominators means GCF of 672,7425 as per the given fractions.
GCF of 672,7425 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 865,8544
Given numbers has no common factors except 1. So, there LCM is their product i.e 7390560
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 865,8544 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(865,8544) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(865,8544) x common factors =1 x 1 = 1
LCM(865,8544) = ( 865 × 8544 ) / 1
LCM(865,8544) = 7390560 / 1
LCM(865,8544) = 7390560
Lets's calculate GCF of 672,7425
3 | 672, 7425 |
224, 2475 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7390560/3
Therefore the LCM of Fractions 865/672,8544/7425 is 2463520
Factors of 672
List of positive integer factors of 672 that divides 672 without a remainder.
1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,84,96,112,168,224,336,672
Factors of 7425
List of positive integer factors of 7425 that divides 7425 without a remainder.
1,3,5,9,11,15,25,27,33,45,55,75,99,135,165,225,275,297,495,675,825,1485,2475,7425
Greatest Common Factor
We found the factors 672,7425 . The biggest common factor number is the GCF number.
So the greatest common factor 672,7425 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 865/672, 8544/7425?
Answer: LCM of Numerators as per given numbers 865/672, 8544/7425 is
LCM of Numerators i.e. for 865,8544 is 7390560
GCF of denominators i.e. for 672,7425 is 3.
Thus, LCM of Fractions is 2463520.Finally, LCM of Fractions for 865/672, 8544/7425 is 2463520.