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LCM of 388, 364, 328, 832, 291

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


Find the LCM of 388, 364, 328, 832, 291 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 388, 364, 328, 832, 291. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 388,364,328,832,291

Given numbers are 388,364,328,832,291

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

The LCM of 388,364,328,832,291 is 69486144.

Find LCM of 388,364,328,832,291 with Prime Factorization


2 388, 364, 328, 832, 291
2 194, 182, 164, 416, 291
2 97, 91, 82, 208, 291
13 97, 91, 41, 104, 291
97 97, 7, 41, 8, 291
1, 7, 41, 8, 3

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

2 x 2 x 2 x 13 x 97 x 1 x 7 x 41 x 8 x 3 = 69486144

Therefore, the lowest common multiple of 388,364,328,832,291 is 69486144.

LCM Formula to Find Lowest Common Multiple of 388,364,328,832,291

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.

388 x 364 x 328 x 832 x 291 = 11215619530752

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.

388 : 1, 2, 4, 97, 194, 388

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

328 : 1, 2, 4, 8, 41, 82, 164, 328

832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

291 : 1, 3, 97, 291

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 388,364,328,832,291, is 1.

Now, the common factors can be found like this.

388:2x 2x 97

364:2x 2x 7x 13

328:2x 2x 2x 41

832:2x 2x 2x 2x 2x 2x 13

291:3x 97

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 2x 2x 2x 2x 2x 13x 97 = 161408

Therefore, the value for common factors is 161408.

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 = 11215619530752/(1x161408)

LCM = 11215619530752/161408

LCM = 69486144

Thus, we can understand that the LCM of 388,364,328,832,291 is 69486144.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 388, 364, 328, 832, 291

1. What is the LCM of 388, 364, 328, 832, 291?

Answer: LCM of 388, 364, 328, 832, 291 is 69486144.

2. How to calculate the LCM of 388, 364, 328, 832, 291?

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 388, 364, 328, 832, 291.

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}.