Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 650/182, 230/225, 434/890 quickly i.e. 3244150 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 650/182, 230/225, 434/890 is 3244150.
LCM(650/182, 230/225, 434/890) = 3244150
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 650/182,230/225,434/890
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 650,230,434
Least Common Multiple of Numerators i.e. LCM of 650,230,434 is 3244150.
GCF of Denominators means GCF of 182,225,890 as per the given fractions.
GCF of 182,225,890 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 650,230,434
2 | 650, 230, 434 |
5 | 325, 115, 217 |
65, 23, 217 |
∴ So the LCM of the given numbers is 2 x 5 x 65 x 23 x 217 = 3244150
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 650,230,434 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(650,230,434) = 2
common factors(in case of two or more numbers have common factors) = 10
GCF(650,230,434) x common factors =2 x 10 = 20
LCM(650,230,434) = ( 650 × 230 × 434 ) / 20
LCM(650,230,434) = 64883000 / 20
LCM(650,230,434) = 3244150
Lets's calculate GCF of 182,225,890
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3244150/1
Therefore the LCM of Fractions 650/182,230/225,434/890 is 3244150
Factors of 182
List of positive integer factors of 182 that divides 182 without a remainder.
1,2,7,13,14,26,91,182
Factors of 225
List of positive integer factors of 225 that divides 225 without a remainder.
1,3,5,9,15,25,45,75,225
Factors of 890
List of positive integer factors of 890 that divides 890 without a remainder.
1,2,5,10,89,178,445,890
Greatest Common Factor
We found the factors 182,225,890 . The biggest common factor number is the GCF number.
So the greatest common factor 182,225,890 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 650/182, 230/225, 434/890?
Answer: LCM of Numerators as per given numbers 650/182, 230/225, 434/890 is
LCM of Numerators i.e. for 650,230,434 is 3244150
GCF of denominators i.e. for 182,225,890 is 1.
Thus, LCM of Fractions is 3244150.Finally, LCM of Fractions for 650/182, 230/225, 434/890 is 3244150.