Given numbers are 364,896,490,135,397

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

The LCM of 364,896,490,135,397 is 4369921920.

Find LCM of 364,896,490,135,397 with Prime Factorization

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

2 x 2 x 5 x 7 x 13 x 32 x 7 x 27 x 397 = 4369921920

Therefore, the lowest common multiple of 364,896,490,135,397 is 4369921920.

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.

364 x 896 x 490 x 135 x 397 = 8565046963200

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.

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

896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

135 : 1, 3, 5, 9, 15, 27, 45, 135

397 : 1, 397

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 364,896,490,135,397, is 1.

Now, the common factors can be found like this.

364:2x 2x 7x 13

896:2x 2x 2x 2x 2x 2x 2x 7

490:2x 5x 7x 7

135:3x 3x 3x 5

397:397

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 5x 7x 7 = 1960

Therefore, the value for common factors is 1960.

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 = 8565046963200/(1x1960)

LCM = 8565046963200/1960

LCM = 4369921920

Thus, we can understand that the LCM of 364,896,490,135,397 is 4369921920.

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

• LCM of 913, 389, 444, 119, 575
• LCM of 323, 962, 950, 133, 439
• LCM of 405, 158, 312, 625, 711
• LCM of 321, 468, 580, 181, 438
• LCM of 961, 643, 661, 202, 591

1. What is the LCM of 364, 896, 490, 135, 397?

Answer: LCM of 364, 896, 490, 135, 397 is 4369921920.

2. How to calculate the LCM of 364, 896, 490, 135, 397?

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 364, 896, 490, 135, 397.

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}.