Given numbers are 526,381,362,493,728

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

The LCM of 526,381,362,493,728 is 6509349609672.

Find LCM of 526,381,362,493,728 with Prime Factorization

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

2 x 263 x 381 x 181 x 493 x 364 = 6509349609672

Therefore, the lowest common multiple of 526,381,362,493,728 is 6509349609672.

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.

526 x 381 x 362 x 493 x 728 = 26037398438688

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.

526 : 1, 2, 263, 526

381 : 1, 3, 127, 381

362 : 1, 2, 181, 362

493 : 1, 17, 29, 493

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 526,381,362,493,728, is 1.

Now, the common factors can be found like this.

526:2x 263

381:3x 127

362:2x 181

493:17x 29

728:2x 2x 2x 7x 13

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 26037398438688/(1x4)

LCM = 26037398438688/4

LCM = 6509349609672

Thus, we can understand that the LCM of 526,381,362,493,728 is 6509349609672.

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

• LCM of 202, 625, 775, 715, 175
• LCM of 686, 317, 980, 571, 286
• LCM of 825, 565, 704, 204, 975
• LCM of 728, 838, 580, 644, 480
• LCM of 313, 786, 843, 505, 240

1. What is the LCM of 526, 381, 362, 493, 728?

Answer: LCM of 526, 381, 362, 493, 728 is 6509349609672.

2. How to calculate the LCM of 526, 381, 362, 493, 728?

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 526, 381, 362, 493, 728.

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}.