Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 13/432, 86/640 quickly i.e. 1118/16 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 13/432, 86/640 is 1118/16.
LCM(13/432, 86/640) = 1118/16
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 13/432,86/640
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 13,86
Least Common Multiple of Numerators i.e. LCM of 13,86 is 1118.
GCF of Denominators means GCF of 432,640 as per the given fractions.
GCF of 432,640 is 16 as it is the largest common factor for these numbers.
Lets's calculate LCM of 13,86
Given numbers has no common factors except 1. So, there LCM is their product i.e 1118
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 13,86 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(13,86) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(13,86) x common factors =1 x 1 = 1
LCM(13,86) = ( 13 × 86 ) / 1
LCM(13,86) = 1118 / 1
LCM(13,86) = 1118
Lets's calculate GCF of 432,640
2 | 432, 640 |
2 | 216, 320 |
2 | 108, 160 |
2 | 54, 80 |
27, 40 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1118/16
Therefore the LCM of Fractions 13/432,86/640 is 1118/16
Factors of 432
List of positive integer factors of 432 that divides 432 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,108,144,216,432
Factors of 640
List of positive integer factors of 640 that divides 640 without a remainder.
1,2,4,5,8,10,16,20,32,40,64,80,128,160,320,640
Greatest Common Factor
We found the factors 432,640 . The biggest common factor number is the GCF number.
So the greatest common factor 432,640 is 16.
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 13/432, 86/640?
Answer: LCM of Numerators as per given numbers 13/432, 86/640 is
LCM of Numerators i.e. for 13,86 is 1118
GCF of denominators i.e. for 432,640 is 16.
Thus, LCM of Fractions is 1118/16.Finally, LCM of Fractions for 13/432, 86/640 is 1118/16.