Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7580/430, 4018/6431 quickly i.e. 15228220 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7580/430, 4018/6431 is 15228220.
LCM(7580/430, 4018/6431) = 15228220
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7580/430,4018/6431
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 7580,4018
Least Common Multiple of Numerators i.e. LCM of 7580,4018 is 15228220.
GCF of Denominators means GCF of 430,6431 as per the given fractions.
GCF of 430,6431 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7580,4018
2 | 7580, 4018 |
3790, 2009 |
∴ So the LCM of the given numbers is 2 x 3790 x 2009 = 15228220
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 7580,4018 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7580,4018) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(7580,4018) x common factors =2 x 1 = 2
LCM(7580,4018) = ( 7580 × 4018 ) / 2
LCM(7580,4018) = 30456440 / 2
LCM(7580,4018) = 15228220
Lets's calculate GCF of 430,6431
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15228220/1
Therefore the LCM of Fractions 7580/430,4018/6431 is 15228220
Factors of 430
List of positive integer factors of 430 that divides 430 without a remainder.
1,2,5,10,43,86,215,430
Factors of 6431
List of positive integer factors of 6431 that divides 6431 without a remainder.
1,59,109,6431
Greatest Common Factor
We found the factors 430,6431 . The biggest common factor number is the GCF number.
So the greatest common factor 430,6431 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 7580/430, 4018/6431?
Answer: LCM of Numerators as per given numbers 7580/430, 4018/6431 is
LCM of Numerators i.e. for 7580,4018 is 15228220
GCF of denominators i.e. for 430,6431 is 1.
Thus, LCM of Fractions is 15228220.Finally, LCM of Fractions for 7580/430, 4018/6431 is 15228220.