Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5323/650, 6408/430 quickly i.e. 34109784/10 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5323/650, 6408/430 is 34109784/10.
LCM(5323/650, 6408/430) = 34109784/10
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5323/650,6408/430
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 5323,6408
Least Common Multiple of Numerators i.e. LCM of 5323,6408 is 34109784.
GCF of Denominators means GCF of 650,430 as per the given fractions.
GCF of 650,430 is 10 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5323,6408
Given numbers has no common factors except 1. So, there LCM is their product i.e 34109784
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 5323,6408 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5323,6408) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(5323,6408) x common factors =1 x 1 = 1
LCM(5323,6408) = ( 5323 × 6408 ) / 1
LCM(5323,6408) = 34109784 / 1
LCM(5323,6408) = 34109784
Lets's calculate GCF of 650,430
2 | 650, 430 |
5 | 325, 215 |
65, 43 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34109784/10
Therefore the LCM of Fractions 5323/650,6408/430 is 34109784/10
Factors of 650
List of positive integer factors of 650 that divides 650 without a remainder.
1,2,5,10,13,25,26,50,65,130,325,650
Factors of 430
List of positive integer factors of 430 that divides 430 without a remainder.
1,2,5,10,43,86,215,430
Greatest Common Factor
We found the factors 650,430 . The biggest common factor number is the GCF number.
So the greatest common factor 650,430 is 10.
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 5323/650, 6408/430?
Answer: LCM of Numerators as per given numbers 5323/650, 6408/430 is
LCM of Numerators i.e. for 5323,6408 is 34109784
GCF of denominators i.e. for 650,430 is 10.
Thus, LCM of Fractions is 34109784/10.Finally, LCM of Fractions for 5323/650, 6408/430 is 34109784/10.