Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 47/369, 118/124, 355/867 quickly i.e. 1968830 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 47/369, 118/124, 355/867 is 1968830.
LCM(47/369, 118/124, 355/867) = 1968830
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 47/369,118/124,355/867
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 47,118,355
Least Common Multiple of Numerators i.e. LCM of 47,118,355 is 1968830.
GCF of Denominators means GCF of 369,124,867 as per the given fractions.
GCF of 369,124,867 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 47,118,355
Given numbers has no common factors except 1. So, there LCM is their product i.e 1968830
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 47,118,355 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,118,355) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(47,118,355) x common factors =1 x 1 = 1
LCM(47,118,355) = ( 47 × 118 × 355 ) / 1
LCM(47,118,355) = 1968830 / 1
LCM(47,118,355) = 1968830
Lets's calculate GCF of 369,124,867
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1968830/1
Therefore the LCM of Fractions 47/369,118/124,355/867 is 1968830
Factors of 369
List of positive integer factors of 369 that divides 369 without a remainder.
1,3,9,41,123,369
Factors of 124
List of positive integer factors of 124 that divides 124 without a remainder.
1,2,4,31,62,124
Factors of 867
List of positive integer factors of 867 that divides 867 without a remainder.
1,3,17,51,289,867
Greatest Common Factor
We found the factors 369,124,867 . The biggest common factor number is the GCF number.
So the greatest common factor 369,124,867 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 47/369, 118/124, 355/867?
Answer: LCM of Numerators as per given numbers 47/369, 118/124, 355/867 is
LCM of Numerators i.e. for 47,118,355 is 1968830
GCF of denominators i.e. for 369,124,867 is 1.
Thus, LCM of Fractions is 1968830.Finally, LCM of Fractions for 47/369, 118/124, 355/867 is 1968830.