Given numbers are 460,817,316,924,413

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

The LCM of 460,817,316,924,413 is 404642011620.

Find LCM of 460,817,316,924,413 with Prime Factorization

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

2 x 2 x 7 x 115 x 817 x 79 x 33 x 59 = 404642011620

Therefore, the lowest common multiple of 460,817,316,924,413 is 404642011620.

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.

460 x 817 x 316 x 924 x 413 = 45319905301440

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.

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

817 : 1, 19, 43, 817

316 : 1, 2, 4, 79, 158, 316

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

413 : 1, 7, 59, 413

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,817,316,924,413, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

817:19x 43

316:2x 2x 79

924:2x 2x 3x 7x 11

413:7x 59

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 7 = 112

Therefore, the value for common factors is 112.

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 = 45319905301440/(1x112)

LCM = 45319905301440/112

LCM = 404642011620

Thus, we can understand that the LCM of 460,817,316,924,413 is 404642011620.

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

• LCM of 722, 161, 208, 967, 537
• LCM of 883, 781, 464, 374, 409
• LCM of 538, 438, 349, 165, 774
• LCM of 709, 491, 419, 871, 852
• LCM of 302, 361, 990, 295, 363

1. What is the LCM of 460, 817, 316, 924, 413?

Answer: LCM of 460, 817, 316, 924, 413 is 404642011620.

2. How to calculate the LCM of 460, 817, 316, 924, 413?

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 460, 817, 316, 924, 413.

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}.