Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1800/251, 2415/636 quickly i.e. 289800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1800/251, 2415/636 is 289800.
LCM(1800/251, 2415/636) = 289800
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1800/251,2415/636
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 1800,2415
Least Common Multiple of Numerators i.e. LCM of 1800,2415 is 289800.
GCF of Denominators means GCF of 251,636 as per the given fractions.
GCF of 251,636 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1800,2415
3 | 1800, 2415 |
5 | 600, 805 |
120, 161 |
∴ So the LCM of the given numbers is 3 x 5 x 120 x 161 = 289800
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 1800,2415 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1800,2415) = 15
common factors(in case of two or more numbers have common factors) = 1
GCF(1800,2415) x common factors =15 x 1 = 15
LCM(1800,2415) = ( 1800 × 2415 ) / 15
LCM(1800,2415) = 4347000 / 15
LCM(1800,2415) = 289800
Lets's calculate GCF of 251,636
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 289800/1
Therefore the LCM of Fractions 1800/251,2415/636 is 289800
Factors of 251
List of positive integer factors of 251 that divides 251 without a remainder.
1,251
Factors of 636
List of positive integer factors of 636 that divides 636 without a remainder.
1,2,3,4,6,12,53,106,159,212,318,636
Greatest Common Factor
We found the factors 251,636 . The biggest common factor number is the GCF number.
So the greatest common factor 251,636 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 1800/251, 2415/636?
Answer: LCM of Numerators as per given numbers 1800/251, 2415/636 is
LCM of Numerators i.e. for 1800,2415 is 289800
GCF of denominators i.e. for 251,636 is 1.
Thus, LCM of Fractions is 289800.Finally, LCM of Fractions for 1800/251, 2415/636 is 289800.