Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 731/602, 725/775, 439/650 quickly i.e. 232659025 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 731/602, 725/775, 439/650 is 232659025.
LCM(731/602, 725/775, 439/650) = 232659025
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 731/602,725/775,439/650
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 731,725,439
Least Common Multiple of Numerators i.e. LCM of 731,725,439 is 232659025.
GCF of Denominators means GCF of 602,775,650 as per the given fractions.
GCF of 602,775,650 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 731,725,439
Given numbers has no common factors except 1. So, there LCM is their product i.e 232659025
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 731,725,439 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(731,725,439) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(731,725,439) x common factors =1 x 1 = 1
LCM(731,725,439) = ( 731 × 725 × 439 ) / 1
LCM(731,725,439) = 232659025 / 1
LCM(731,725,439) = 232659025
Lets's calculate GCF of 602,775,650
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 232659025/1
Therefore the LCM of Fractions 731/602,725/775,439/650 is 232659025
Factors of 602
List of positive integer factors of 602 that divides 602 without a remainder.
1,2,7,14,43,86,301,602
Factors of 775
List of positive integer factors of 775 that divides 775 without a remainder.
1,5,25,31,155,775
Factors of 650
List of positive integer factors of 650 that divides 650 without a remainder.
1,2,5,10,13,25,26,50,65,130,325,650
Greatest Common Factor
We found the factors 602,775,650 . The biggest common factor number is the GCF number.
So the greatest common factor 602,775,650 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 731/602, 725/775, 439/650?
Answer: LCM of Numerators as per given numbers 731/602, 725/775, 439/650 is
LCM of Numerators i.e. for 731,725,439 is 232659025
GCF of denominators i.e. for 602,775,650 is 1.
Thus, LCM of Fractions is 232659025.Finally, LCM of Fractions for 731/602, 725/775, 439/650 is 232659025.