Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 124/89, 203/20, 931/999 quickly i.e. 3347876 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 124/89, 203/20, 931/999 is 3347876.
LCM(124/89, 203/20, 931/999) = 3347876
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 124/89,203/20,931/999
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 124,203,931
Least Common Multiple of Numerators i.e. LCM of 124,203,931 is 3347876.
GCF of Denominators means GCF of 89,20,999 as per the given fractions.
GCF of 89,20,999 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 124,203,931
7 | 124, 203, 931 |
124, 29, 133 |
∴ So the LCM of the given numbers is 7 x 124 x 29 x 133 = 3347876
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 124,203,931 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(124,203,931) = 1
common factors(in case of two or more numbers have common factors) = 7
GCF(124,203,931) x common factors =1 x 7 = 7
LCM(124,203,931) = ( 124 × 203 × 931 ) / 7
LCM(124,203,931) = 23435132 / 7
LCM(124,203,931) = 3347876
Lets's calculate GCF of 89,20,999
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3347876/1
Therefore the LCM of Fractions 124/89,203/20,931/999 is 3347876
Factors of 89
List of positive integer factors of 89 that divides 89 without a remainder.
1,89
Factors of 20
List of positive integer factors of 20 that divides 20 without a remainder.
1,2,4,5,10,20
Factors of 999
List of positive integer factors of 999 that divides 999 without a remainder.
1,3,9,27,37,111,333,999
Greatest Common Factor
We found the factors 89,20,999 . The biggest common factor number is the GCF number.
So the greatest common factor 89,20,999 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 124/89, 203/20, 931/999?
Answer: LCM of Numerators as per given numbers 124/89, 203/20, 931/999 is
LCM of Numerators i.e. for 124,203,931 is 3347876
GCF of denominators i.e. for 89,20,999 is 1.
Thus, LCM of Fractions is 3347876.Finally, LCM of Fractions for 124/89, 203/20, 931/999 is 3347876.