Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 45/46, 789/33, 520/419 quickly i.e. 1230840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 45/46, 789/33, 520/419 is 1230840.
LCM(45/46, 789/33, 520/419) = 1230840
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 45/46,789/33,520/419
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 45,789,520
Least Common Multiple of Numerators i.e. LCM of 45,789,520 is 1230840.
GCF of Denominators means GCF of 46,33,419 as per the given fractions.
GCF of 46,33,419 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 45,789,520
3 | 45, 789, 520 |
5 | 15, 263, 520 |
3, 263, 104 |
∴ So the LCM of the given numbers is 3 x 5 x 3 x 263 x 104 = 1230840
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 45,789,520 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(45,789,520) = 1
common factors(in case of two or more numbers have common factors) = 15
GCF(45,789,520) x common factors =1 x 15 = 15
LCM(45,789,520) = ( 45 × 789 × 520 ) / 15
LCM(45,789,520) = 18462600 / 15
LCM(45,789,520) = 1230840
Lets's calculate GCF of 46,33,419
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1230840/1
Therefore the LCM of Fractions 45/46,789/33,520/419 is 1230840
Factors of 46
List of positive integer factors of 46 that divides 46 without a remainder.
1,2,23,46
Factors of 33
List of positive integer factors of 33 that divides 33 without a remainder.
1,3,11,33
Factors of 419
List of positive integer factors of 419 that divides 419 without a remainder.
1,419
Greatest Common Factor
We found the factors 46,33,419 . The biggest common factor number is the GCF number.
So the greatest common factor 46,33,419 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 45/46, 789/33, 520/419?
Answer: LCM of Numerators as per given numbers 45/46, 789/33, 520/419 is
LCM of Numerators i.e. for 45,789,520 is 1230840
GCF of denominators i.e. for 46,33,419 is 1.
Thus, LCM of Fractions is 1230840.Finally, LCM of Fractions for 45/46, 789/33, 520/419 is 1230840.