Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 12/789, 24/427, 650/233 quickly i.e. 7800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 12/789, 24/427, 650/233 is 7800.
LCM(12/789, 24/427, 650/233) = 7800
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 12/789,24/427,650/233
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 12,24,650
Least Common Multiple of Numerators i.e. LCM of 12,24,650 is 7800.
GCF of Denominators means GCF of 789,427,233 as per the given fractions.
GCF of 789,427,233 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 12,24,650
2 | 12, 24, 650 |
2 | 6, 12, 325 |
3 | 3, 6, 325 |
1, 2, 325 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 1 x 2 x 325 = 7800
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 12,24,650 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(12,24,650) = 2
common factors(in case of two or more numbers have common factors) = 12
GCF(12,24,650) x common factors =2 x 12 = 24
LCM(12,24,650) = ( 12 × 24 × 650 ) / 24
LCM(12,24,650) = 187200 / 24
LCM(12,24,650) = 7800
Lets's calculate GCF of 789,427,233
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7800/1
Therefore the LCM of Fractions 12/789,24/427,650/233 is 7800
Factors of 789
List of positive integer factors of 789 that divides 789 without a remainder.
1,3,263,789
Factors of 427
List of positive integer factors of 427 that divides 427 without a remainder.
1,7,61,427
Factors of 233
List of positive integer factors of 233 that divides 233 without a remainder.
1,233
Greatest Common Factor
We found the factors 789,427,233 . The biggest common factor number is the GCF number.
So the greatest common factor 789,427,233 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 12/789, 24/427, 650/233?
Answer: LCM of Numerators as per given numbers 12/789, 24/427, 650/233 is
LCM of Numerators i.e. for 12,24,650 is 7800
GCF of denominators i.e. for 789,427,233 is 1.
Thus, LCM of Fractions is 7800.Finally, LCM of Fractions for 12/789, 24/427, 650/233 is 7800.