Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 457/397, 901/250 quickly i.e. 411757 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 457/397, 901/250 is 411757.
LCM(457/397, 901/250) = 411757
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 457/397,901/250
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 457,901
Least Common Multiple of Numerators i.e. LCM of 457,901 is 411757.
GCF of Denominators means GCF of 397,250 as per the given fractions.
GCF of 397,250 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 457,901
Given numbers has no common factors except 1. So, there LCM is their product i.e 411757
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 457,901 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(457,901) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(457,901) x common factors =1 x 1 = 1
LCM(457,901) = ( 457 × 901 ) / 1
LCM(457,901) = 411757 / 1
LCM(457,901) = 411757
Lets's calculate GCF of 397,250
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 411757/1
Therefore the LCM of Fractions 457/397,901/250 is 411757
Factors of 397
List of positive integer factors of 397 that divides 397 without a remainder.
1,397
Factors of 250
List of positive integer factors of 250 that divides 250 without a remainder.
1,2,5,10,25,50,125,250
Greatest Common Factor
We found the factors 397,250 . The biggest common factor number is the GCF number.
So the greatest common factor 397,250 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 457/397, 901/250?
Answer: LCM of Numerators as per given numbers 457/397, 901/250 is
LCM of Numerators i.e. for 457,901 is 411757
GCF of denominators i.e. for 397,250 is 1.
Thus, LCM of Fractions is 411757.Finally, LCM of Fractions for 457/397, 901/250 is 411757.