Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 45/453, 4326/2470 quickly i.e. 64890 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 45/453, 4326/2470 is 64890.
LCM(45/453, 4326/2470) = 64890
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 45/453,4326/2470
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 45,4326
Least Common Multiple of Numerators i.e. LCM of 45,4326 is 64890.
GCF of Denominators means GCF of 453,2470 as per the given fractions.
GCF of 453,2470 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 45,4326
3 | 45, 4326 |
15, 1442 |
∴ So the LCM of the given numbers is 3 x 15 x 1442 = 64890
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 45,4326 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(45,4326) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(45,4326) x common factors =3 x 1 = 3
LCM(45,4326) = ( 45 × 4326 ) / 3
LCM(45,4326) = 194670 / 3
LCM(45,4326) = 64890
Lets's calculate GCF of 453,2470
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 64890/1
Therefore the LCM of Fractions 45/453,4326/2470 is 64890
Factors of 453
List of positive integer factors of 453 that divides 453 without a remainder.
1,3,151,453
Factors of 2470
List of positive integer factors of 2470 that divides 2470 without a remainder.
1,2,5,10,13,19,26,38,65,95,130,190,247,494,1235,2470
Greatest Common Factor
We found the factors 453,2470 . The biggest common factor number is the GCF number.
So the greatest common factor 453,2470 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 45/453, 4326/2470?
Answer: LCM of Numerators as per given numbers 45/453, 4326/2470 is
LCM of Numerators i.e. for 45,4326 is 64890
GCF of denominators i.e. for 453,2470 is 1.
Thus, LCM of Fractions is 64890.Finally, LCM of Fractions for 45/453, 4326/2470 is 64890.