Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 43/39, 79/487, 473/350 quickly i.e. 37367 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 43/39, 79/487, 473/350 is 37367.
LCM(43/39, 79/487, 473/350) = 37367
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 43/39,79/487,473/350
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 43,79,473
Least Common Multiple of Numerators i.e. LCM of 43,79,473 is 37367.
GCF of Denominators means GCF of 39,487,350 as per the given fractions.
GCF of 39,487,350 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 43,79,473
43 | 43, 79, 473 |
1, 79, 11 |
∴ So the LCM of the given numbers is 43 x 1 x 79 x 11 = 37367
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 43,79,473 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(43,79,473) = 1
common factors(in case of two or more numbers have common factors) = 43
GCF(43,79,473) x common factors =1 x 43 = 43
LCM(43,79,473) = ( 43 × 79 × 473 ) / 43
LCM(43,79,473) = 1606781 / 43
LCM(43,79,473) = 37367
Lets's calculate GCF of 39,487,350
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37367/1
Therefore the LCM of Fractions 43/39,79/487,473/350 is 37367
Factors of 39
List of positive integer factors of 39 that divides 39 without a remainder.
1,3,13,39
Factors of 487
List of positive integer factors of 487 that divides 487 without a remainder.
1,487
Factors of 350
List of positive integer factors of 350 that divides 350 without a remainder.
1,2,5,7,10,14,25,35,50,70,175,350
Greatest Common Factor
We found the factors 39,487,350 . The biggest common factor number is the GCF number.
So the greatest common factor 39,487,350 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 43/39, 79/487, 473/350?
Answer: LCM of Numerators as per given numbers 43/39, 79/487, 473/350 is
LCM of Numerators i.e. for 43,79,473 is 37367
GCF of denominators i.e. for 39,487,350 is 1.
Thus, LCM of Fractions is 37367.Finally, LCM of Fractions for 43/39, 79/487, 473/350 is 37367.