Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 228/236, 1545/2160 quickly i.e. 29355 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 228/236, 1545/2160 is 29355.
LCM(228/236, 1545/2160) = 29355
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 228/236,1545/2160
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 228,1545
Least Common Multiple of Numerators i.e. LCM of 228,1545 is 117420.
GCF of Denominators means GCF of 236,2160 as per the given fractions.
GCF of 236,2160 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 228,1545
3 | 228, 1545 |
76, 515 |
∴ So the LCM of the given numbers is 3 x 76 x 515 = 117420
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 228,1545 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(228,1545) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(228,1545) x common factors =3 x 1 = 3
LCM(228,1545) = ( 228 × 1545 ) / 3
LCM(228,1545) = 352260 / 3
LCM(228,1545) = 117420
Lets's calculate GCF of 236,2160
2 | 236, 2160 |
2 | 118, 1080 |
59, 540 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 117420/4
Therefore the LCM of Fractions 228/236,1545/2160 is 29355
Factors of 236
List of positive integer factors of 236 that divides 236 without a remainder.
1,2,4,59,118,236
Factors of 2160
List of positive integer factors of 2160 that divides 2160 without a remainder.
1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,27,30,36,40,45,48,54,60,72,80,90,108,120,135,144,180,216,240,270,360,432,540,720,1080,2160
Greatest Common Factor
We found the factors 236,2160 . The biggest common factor number is the GCF number.
So the greatest common factor 236,2160 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 228/236, 1545/2160?
Answer: LCM of Numerators as per given numbers 228/236, 1545/2160 is
LCM of Numerators i.e. for 228,1545 is 117420
GCF of denominators i.e. for 236,2160 is 4.
Thus, LCM of Fractions is 29355.Finally, LCM of Fractions for 228/236, 1545/2160 is 29355.