Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 76/430, 5613/7281 quickly i.e. 426588 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 76/430, 5613/7281 is 426588.
LCM(76/430, 5613/7281) = 426588
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 76/430,5613/7281
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 76,5613
Least Common Multiple of Numerators i.e. LCM of 76,5613 is 426588.
GCF of Denominators means GCF of 430,7281 as per the given fractions.
GCF of 430,7281 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 76,5613
Given numbers has no common factors except 1. So, there LCM is their product i.e 426588
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 76,5613 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(76,5613) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(76,5613) x common factors =1 x 1 = 1
LCM(76,5613) = ( 76 × 5613 ) / 1
LCM(76,5613) = 426588 / 1
LCM(76,5613) = 426588
Lets's calculate GCF of 430,7281
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 426588/1
Therefore the LCM of Fractions 76/430,5613/7281 is 426588
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 7281
List of positive integer factors of 7281 that divides 7281 without a remainder.
1,3,9,809,2427,7281
Greatest Common Factor
We found the factors 430,7281 . The biggest common factor number is the GCF number.
So the greatest common factor 430,7281 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 76/430, 5613/7281?
Answer: LCM of Numerators as per given numbers 76/430, 5613/7281 is
LCM of Numerators i.e. for 76,5613 is 426588
GCF of denominators i.e. for 430,7281 is 1.
Thus, LCM of Fractions is 426588.Finally, LCM of Fractions for 76/430, 5613/7281 is 426588.