Given numbers are 358,462,402,317,514

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

The LCM of 358,462,402,317,514 is 451400665254.

Find LCM of 358,462,402,317,514 with Prime Factorization

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

2 x 3 x 179 x 77 x 67 x 317 x 257 = 451400665254

Therefore, the lowest common multiple of 358,462,402,317,514 is 451400665254.

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.

358 x 462 x 402 x 317 x 514 = 10833615966096

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.

358 : 1, 2, 179, 358

462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

402 : 1, 2, 3, 6, 67, 134, 201, 402

317 : 1, 317

514 : 1, 2, 257, 514

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 358,462,402,317,514, is 1.

Now, the common factors can be found like this.

358:2x 179

462:2x 3x 7x 11

402:2x 3x 67

317:317

514:2x 257

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 3 = 24

Therefore, the value for common factors is 24.

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 = 10833615966096/(1x24)

LCM = 10833615966096/24

LCM = 451400665254

Thus, we can understand that the LCM of 358,462,402,317,514 is 451400665254.

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

• LCM of 969, 671, 484, 397, 105
• LCM of 219, 256, 607, 798, 194
• LCM of 264, 569, 230, 645, 285
• LCM of 963, 894, 500, 940, 243
• LCM of 139, 729, 858, 230, 405

1. What is the LCM of 358, 462, 402, 317, 514?

Answer: LCM of 358, 462, 402, 317, 514 is 451400665254.

2. How to calculate the LCM of 358, 462, 402, 317, 514?

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 358, 462, 402, 317, 514.

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}.