Least Common Multiple of 228/236, 1545/2160

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

LCM of 228/236, 1545/2160

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 228/236,1545/2160

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

LCM of Fractions 228/236,1545/2160 is 29355

3 228, 1545
76, 515

∴ So the LCM of the given numbers is 3 x 76 x 515 = 117420

Least Common Multiple of 228,1545 with GCF Formula

Least Common Multiple of 228,1545 with GCF Formula

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

Greatest Common Factor of 236,2160 By Matching Biggest Common Factor Method

Greatest Common Factor of 236,2160 By Matching Biggest Common Factor Method

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.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 228/236, 1545/2160

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.