Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5699/432, 8996/5311 quickly i.e. 51268204 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5699/432, 8996/5311 is 51268204.
LCM(5699/432, 8996/5311) = 51268204
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5699/432,8996/5311
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 5699,8996
Least Common Multiple of Numerators i.e. LCM of 5699,8996 is 51268204.
GCF of Denominators means GCF of 432,5311 as per the given fractions.
GCF of 432,5311 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5699,8996
Given numbers has no common factors except 1. So, there LCM is their product i.e 51268204
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 5699,8996 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5699,8996) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(5699,8996) x common factors =1 x 1 = 1
LCM(5699,8996) = ( 5699 × 8996 ) / 1
LCM(5699,8996) = 51268204 / 1
LCM(5699,8996) = 51268204
Lets's calculate GCF of 432,5311
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 51268204/1
Therefore the LCM of Fractions 5699/432,8996/5311 is 51268204
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 5311
List of positive integer factors of 5311 that divides 5311 without a remainder.
1,47,113,5311
Greatest Common Factor
We found the factors 432,5311 . The biggest common factor number is the GCF number.
So the greatest common factor 432,5311 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 5699/432, 8996/5311?
Answer: LCM of Numerators as per given numbers 5699/432, 8996/5311 is
LCM of Numerators i.e. for 5699,8996 is 51268204
GCF of denominators i.e. for 432,5311 is 1.
Thus, LCM of Fractions is 51268204.Finally, LCM of Fractions for 5699/432, 8996/5311 is 51268204.