Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 824/90, 349/89, 814/129 quickly i.e. 117043432 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 824/90, 349/89, 814/129 is 117043432.
LCM(824/90, 349/89, 814/129) = 117043432
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 824/90,349/89,814/129
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 824,349,814
Least Common Multiple of Numerators i.e. LCM of 824,349,814 is 117043432.
GCF of Denominators means GCF of 90,89,129 as per the given fractions.
GCF of 90,89,129 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 824,349,814
2 | 824, 349, 814 |
412, 349, 407 |
∴ So the LCM of the given numbers is 2 x 412 x 349 x 407 = 117043432
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 824,349,814 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(824,349,814) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(824,349,814) x common factors =1 x 2 = 2
LCM(824,349,814) = ( 824 × 349 × 814 ) / 2
LCM(824,349,814) = 234086864 / 2
LCM(824,349,814) = 117043432
Lets's calculate GCF of 90,89,129
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 117043432/1
Therefore the LCM of Fractions 824/90,349/89,814/129 is 117043432
Factors of 90
List of positive integer factors of 90 that divides 90 without a remainder.
1,2,3,5,6,9,10,15,18,30,45,90
Factors of 89
List of positive integer factors of 89 that divides 89 without a remainder.
1,89
Factors of 129
List of positive integer factors of 129 that divides 129 without a remainder.
1,3,43,129
Greatest Common Factor
We found the factors 90,89,129 . The biggest common factor number is the GCF number.
So the greatest common factor 90,89,129 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 824/90, 349/89, 814/129?
Answer: LCM of Numerators as per given numbers 824/90, 349/89, 814/129 is
LCM of Numerators i.e. for 824,349,814 is 117043432
GCF of denominators i.e. for 90,89,129 is 1.
Thus, LCM of Fractions is 117043432.Finally, LCM of Fractions for 824/90, 349/89, 814/129 is 117043432.