Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 450/658, 8602/1250 quickly i.e. 967725 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 450/658, 8602/1250 is 967725.
LCM(450/658, 8602/1250) = 967725
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 450/658,8602/1250
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 450,8602
Least Common Multiple of Numerators i.e. LCM of 450,8602 is 1935450.
GCF of Denominators means GCF of 658,1250 as per the given fractions.
GCF of 658,1250 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 450,8602
2 | 450, 8602 |
225, 4301 |
∴ So the LCM of the given numbers is 2 x 225 x 4301 = 1935450
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 450,8602 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(450,8602) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(450,8602) x common factors =2 x 1 = 2
LCM(450,8602) = ( 450 × 8602 ) / 2
LCM(450,8602) = 3870900 / 2
LCM(450,8602) = 1935450
Lets's calculate GCF of 658,1250
2 | 658, 1250 |
329, 625 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1935450/2
Therefore the LCM of Fractions 450/658,8602/1250 is 967725
Factors of 658
List of positive integer factors of 658 that divides 658 without a remainder.
1,2,7,14,47,94,329,658
Factors of 1250
List of positive integer factors of 1250 that divides 1250 without a remainder.
1,2,5,10,25,50,125,250,625,1250
Greatest Common Factor
We found the factors 658,1250 . The biggest common factor number is the GCF number.
So the greatest common factor 658,1250 is 2.
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 450/658, 8602/1250?
Answer: LCM of Numerators as per given numbers 450/658, 8602/1250 is
LCM of Numerators i.e. for 450,8602 is 1935450
GCF of denominators i.e. for 658,1250 is 2.
Thus, LCM of Fractions is 967725.Finally, LCM of Fractions for 450/658, 8602/1250 is 967725.