Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 43/402, 830/169, 831/239 quickly i.e. 29658390 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 43/402, 830/169, 831/239 is 29658390.
LCM(43/402, 830/169, 831/239) = 29658390
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 43/402,830/169,831/239
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 43,830,831
Least Common Multiple of Numerators i.e. LCM of 43,830,831 is 29658390.
GCF of Denominators means GCF of 402,169,239 as per the given fractions.
GCF of 402,169,239 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 43,830,831
Given numbers has no common factors except 1. So, there LCM is their product i.e 29658390
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 43,830,831 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(43,830,831) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(43,830,831) x common factors =1 x 1 = 1
LCM(43,830,831) = ( 43 × 830 × 831 ) / 1
LCM(43,830,831) = 29658390 / 1
LCM(43,830,831) = 29658390
Lets's calculate GCF of 402,169,239
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29658390/1
Therefore the LCM of Fractions 43/402,830/169,831/239 is 29658390
Factors of 402
List of positive integer factors of 402 that divides 402 without a remainder.
1,2,3,6,67,134,201,402
Factors of 169
List of positive integer factors of 169 that divides 169 without a remainder.
1,13,169
Factors of 239
List of positive integer factors of 239 that divides 239 without a remainder.
1,239
Greatest Common Factor
We found the factors 402,169,239 . The biggest common factor number is the GCF number.
So the greatest common factor 402,169,239 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 43/402, 830/169, 831/239?
Answer: LCM of Numerators as per given numbers 43/402, 830/169, 831/239 is
LCM of Numerators i.e. for 43,830,831 is 29658390
GCF of denominators i.e. for 402,169,239 is 1.
Thus, LCM of Fractions is 29658390.Finally, LCM of Fractions for 43/402, 830/169, 831/239 is 29658390.