Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 789/82, 456/36, 465/224 quickly i.e. 9294420 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 789/82, 456/36, 465/224 is 9294420.
LCM(789/82, 456/36, 465/224) = 9294420
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 789/82,456/36,465/224
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 789,456,465
Least Common Multiple of Numerators i.e. LCM of 789,456,465 is 18588840.
GCF of Denominators means GCF of 82,36,224 as per the given fractions.
GCF of 82,36,224 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 789,456,465
3 | 789, 456, 465 |
263, 152, 155 |
∴ So the LCM of the given numbers is 3 x 263 x 152 x 155 = 18588840
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 789,456,465 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(789,456,465) = 3
common factors(in case of two or more numbers have common factors) = 3
GCF(789,456,465) x common factors =3 x 3 = 9
LCM(789,456,465) = ( 789 × 456 × 465 ) / 9
LCM(789,456,465) = 167299560 / 9
LCM(789,456,465) = 18588840
Lets's calculate GCF of 82,36,224
2 | 82, 36, 224 |
41, 18, 112 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18588840/2
Therefore the LCM of Fractions 789/82,456/36,465/224 is 9294420
Factors of 82
List of positive integer factors of 82 that divides 82 without a remainder.
1,2,41,82
Factors of 36
List of positive integer factors of 36 that divides 36 without a remainder.
1,2,3,4,6,9,12,18,36
Factors of 224
List of positive integer factors of 224 that divides 224 without a remainder.
1,2,4,7,8,14,16,28,32,56,112,224
Greatest Common Factor
We found the factors 82,36,224 . The biggest common factor number is the GCF number.
So the greatest common factor 82,36,224 is 2.
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 789/82, 456/36, 465/224?
Answer: LCM of Numerators as per given numbers 789/82, 456/36, 465/224 is
LCM of Numerators i.e. for 789,456,465 is 18588840
GCF of denominators i.e. for 82,36,224 is 2.
Thus, LCM of Fractions is 9294420.Finally, LCM of Fractions for 789/82, 456/36, 465/224 is 9294420.