Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 360/690, 415/453 quickly i.e. 9960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 360/690, 415/453 is 9960.
LCM(360/690, 415/453) = 9960
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 360/690,415/453
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 360,415
Least Common Multiple of Numerators i.e. LCM of 360,415 is 29880.
GCF of Denominators means GCF of 690,453 as per the given fractions.
GCF of 690,453 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 360,415
5 | 360, 415 |
72, 83 |
∴ So the LCM of the given numbers is 5 x 72 x 83 = 29880
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 360,415 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(360,415) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(360,415) x common factors =5 x 1 = 5
LCM(360,415) = ( 360 × 415 ) / 5
LCM(360,415) = 149400 / 5
LCM(360,415) = 29880
Lets's calculate GCF of 690,453
3 | 690, 453 |
230, 151 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29880/3
Therefore the LCM of Fractions 360/690,415/453 is 9960
Factors of 690
List of positive integer factors of 690 that divides 690 without a remainder.
1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690
Factors of 453
List of positive integer factors of 453 that divides 453 without a remainder.
1,3,151,453
Greatest Common Factor
We found the factors 690,453 . The biggest common factor number is the GCF number.
So the greatest common factor 690,453 is 3.
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 360/690, 415/453?
Answer: LCM of Numerators as per given numbers 360/690, 415/453 is
LCM of Numerators i.e. for 360,415 is 29880
GCF of denominators i.e. for 690,453 is 3.
Thus, LCM of Fractions is 9960.Finally, LCM of Fractions for 360/690, 415/453 is 9960.