Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1820/600, 1089/3628 quickly i.e. 495495 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1820/600, 1089/3628 is 495495.
LCM(1820/600, 1089/3628) = 495495
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1820/600,1089/3628
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 1820,1089
Least Common Multiple of Numerators i.e. LCM of 1820,1089 is 1981980.
GCF of Denominators means GCF of 600,3628 as per the given fractions.
GCF of 600,3628 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1820,1089
Given numbers has no common factors except 1. So, there LCM is their product i.e 1981980
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 1820,1089 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1820,1089) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1820,1089) x common factors =1 x 1 = 1
LCM(1820,1089) = ( 1820 × 1089 ) / 1
LCM(1820,1089) = 1981980 / 1
LCM(1820,1089) = 1981980
Lets's calculate GCF of 600,3628
2 | 600, 3628 |
2 | 300, 1814 |
150, 907 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1981980/4
Therefore the LCM of Fractions 1820/600,1089/3628 is 495495
Factors of 600
List of positive integer factors of 600 that divides 600 without a remainder.
1,2,3,4,5,6,8,10,12,15,20,24,25,30,40,50,60,75,100,120,150,200,300,600
Factors of 3628
List of positive integer factors of 3628 that divides 3628 without a remainder.
1,2,4,907,1814,3628
Greatest Common Factor
We found the factors 600,3628 . The biggest common factor number is the GCF number.
So the greatest common factor 600,3628 is 4.
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 1820/600, 1089/3628?
Answer: LCM of Numerators as per given numbers 1820/600, 1089/3628 is
LCM of Numerators i.e. for 1820,1089 is 1981980
GCF of denominators i.e. for 600,3628 is 4.
Thus, LCM of Fractions is 495495.Finally, LCM of Fractions for 1820/600, 1089/3628 is 495495.