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LCM of 305, 543, 272, 724, 933

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 305, 543, 272, 724, 933 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 305, 543, 272, 724, 933. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 305,543,272,724,933

Given numbers are 305,543,272,724,933

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 305,543,272,724,933 is 14009704080.

Find LCM of 305,543,272,724,933 with Prime Factorization


2 305, 543, 272, 724, 933
2 305, 543, 136, 362, 933
3 305, 543, 68, 181, 933
181 305, 181, 68, 181, 311
305, 1, 68, 1, 311

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 3 x 181 x 305 x 1 x 68 x 1 x 311 = 14009704080

Therefore, the lowest common multiple of 305,543,272,724,933 is 14009704080.

LCM Formula to Find Lowest Common Multiple of 305,543,272,724,933

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

305 x 543 x 272 x 724 x 933 = 30429077261760

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

305 : 1, 5, 61, 305

543 : 1, 3, 181, 543

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

724 : 1, 2, 4, 181, 362, 724

933 : 1, 3, 311, 933

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 305,543,272,724,933, is 1.

Now, the common factors can be found like this.

305:5x 61

543:3x 181

272:2x 2x 2x 2x 17

724:2x 2x 181

933:3x 311

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 3x 181 = 2172

Therefore, the value for common factors is 2172.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 30429077261760/(1x2172)

LCM = 30429077261760/2172

LCM = 14009704080

Thus, we can understand that the LCM of 305,543,272,724,933 is 14009704080.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 305, 543, 272, 724, 933

1. What is the LCM of 305, 543, 272, 724, 933?

Answer: LCM of 305, 543, 272, 724, 933 is 14009704080.

2. How to calculate the LCM of 305, 543, 272, 724, 933?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 305, 543, 272, 724, 933.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.