Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 847/75, 725/6344 quickly i.e. 614075 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 847/75, 725/6344 is 614075.
LCM(847/75, 725/6344) = 614075
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 847/75,725/6344
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 847,725
Least Common Multiple of Numerators i.e. LCM of 847,725 is 614075.
GCF of Denominators means GCF of 75,6344 as per the given fractions.
GCF of 75,6344 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 847,725
Given numbers has no common factors except 1. So, there LCM is their product i.e 614075
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 847,725 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(847,725) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(847,725) x common factors =1 x 1 = 1
LCM(847,725) = ( 847 × 725 ) / 1
LCM(847,725) = 614075 / 1
LCM(847,725) = 614075
Lets's calculate GCF of 75,6344
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 614075/1
Therefore the LCM of Fractions 847/75,725/6344 is 614075
Factors of 75
List of positive integer factors of 75 that divides 75 without a remainder.
1,3,5,15,25,75
Factors of 6344
List of positive integer factors of 6344 that divides 6344 without a remainder.
1,2,4,8,13,26,52,61,104,122,244,488,793,1586,3172,6344
Greatest Common Factor
We found the factors 75,6344 . The biggest common factor number is the GCF number.
So the greatest common factor 75,6344 is 1.
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 847/75, 725/6344?
Answer: LCM of Numerators as per given numbers 847/75, 725/6344 is
LCM of Numerators i.e. for 847,725 is 614075
GCF of denominators i.e. for 75,6344 is 1.
Thus, LCM of Fractions is 614075.Finally, LCM of Fractions for 847/75, 725/6344 is 614075.