Given numbers are 388,228,475,364,217

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

The LCM of 388,228,475,364,217 is 1559730900.

Find LCM of 388,228,475,364,217 with Prime Factorization

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

2 x 2 x 7 x 19 x 97 x 3 x 25 x 13 x 31 = 1559730900

Therefore, the lowest common multiple of 388,228,475,364,217 is 1559730900.

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 228 x 475 x 364 x 217 = 3319107355200

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

228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

475 : 1, 5, 19, 25, 95, 475

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

217 : 1, 7, 31, 217

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 388,228,475,364,217, is 1.

Now, the common factors can be found like this.

388:2x 2x 97

228:2x 2x 3x 19

475:5x 5x 19

364:2x 2x 7x 13

217:7x 31

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 7x 19 = 2128

Therefore, the value for common factors is 2128.

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 = 3319107355200/(1x2128)

LCM = 3319107355200/2128

LCM = 1559730900

Thus, we can understand that the LCM of 388,228,475,364,217 is 1559730900.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 559, 514, 576, 460, 332
• LCM of 773, 352, 870, 822, 883
• LCM of 506, 159, 931, 853, 935
• LCM of 425, 905, 974, 541, 162
• LCM of 992, 575, 945, 394, 606

1. What is the LCM of 388, 228, 475, 364, 217?

Answer: LCM of 388, 228, 475, 364, 217 is 1559730900.

2. How to calculate the LCM of 388, 228, 475, 364, 217?

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, 228, 475, 364, 217.

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}.