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LCM of 258, 271, 144, 363

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


Find the LCM of 258, 271, 144, 363 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 258, 271, 144, 363. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 258,271,144,363

Given numbers are 258,271,144,363

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

The LCM of 258,271,144,363 is 203041872.

Find LCM of 258,271,144,363 with Prime Factorization


2 258, 271, 144, 363
3 129, 271, 72, 363
43, 271, 24, 121

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

2 x 3 x 43 x 271 x 24 x 121 = 203041872

Therefore, the lowest common multiple of 258,271,144,363 is 203041872.

LCM Formula to Find Lowest Common Multiple of 258,271,144,363

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.

258 x 271 x 144 x 363 = 3654753696

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.

258 : 1, 2, 3, 6, 43, 86, 129, 258

271 : 1, 271

144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

363 : 1, 3, 11, 33, 121, 363

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 258,271,144,363, is 1.

Now, the common factors can be found like this.

258:2x 3x 43

271:271

144:2x 2x 2x 2x 3x 3

363:3x 11x 11

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

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 3654753696/(1x18)

LCM = 3654753696/18

LCM = 203041872

Thus, we can understand that the LCM of 258,271,144,363 is 203041872.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 258, 271, 144, 363

1. What is the LCM of 258, 271, 144, 363?

Answer: LCM of 258, 271, 144, 363 is 203041872.

2. How to calculate the LCM of 258, 271, 144, 363?

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 258, 271, 144, 363.

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}.