Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 803/250, 797/744, 467/397 quickly i.e. 298875797 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 803/250, 797/744, 467/397 is 298875797.
LCM(803/250, 797/744, 467/397) = 298875797
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 803/250,797/744,467/397
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 803,797,467
Least Common Multiple of Numerators i.e. LCM of 803,797,467 is 298875797.
GCF of Denominators means GCF of 250,744,397 as per the given fractions.
GCF of 250,744,397 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 803,797,467
Given numbers has no common factors except 1. So, there LCM is their product i.e 298875797
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 803,797,467 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(803,797,467) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(803,797,467) x common factors =1 x 1 = 1
LCM(803,797,467) = ( 803 × 797 × 467 ) / 1
LCM(803,797,467) = 298875797 / 1
LCM(803,797,467) = 298875797
Lets's calculate GCF of 250,744,397
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 298875797/1
Therefore the LCM of Fractions 803/250,797/744,467/397 is 298875797
Factors of 250
List of positive integer factors of 250 that divides 250 without a remainder.
1,2,5,10,25,50,125,250
Factors of 744
List of positive integer factors of 744 that divides 744 without a remainder.
1,2,3,4,6,8,12,24,31,62,93,124,186,248,372,744
Factors of 397
List of positive integer factors of 397 that divides 397 without a remainder.
1,397
Greatest Common Factor
We found the factors 250,744,397 . The biggest common factor number is the GCF number.
So the greatest common factor 250,744,397 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 803/250, 797/744, 467/397?
Answer: LCM of Numerators as per given numbers 803/250, 797/744, 467/397 is
LCM of Numerators i.e. for 803,797,467 is 298875797
GCF of denominators i.e. for 250,744,397 is 1.
Thus, LCM of Fractions is 298875797.Finally, LCM of Fractions for 803/250, 797/744, 467/397 is 298875797.