Given numbers are 408,771,630,957,681

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

The LCM of 408,771,630,957,681 is 797258440440.

Find LCM of 408,771,630,957,681 with Prime Factorization

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

2 x 3 x 68 x 257 x 105 x 319 x 227 = 797258440440

Therefore, the lowest common multiple of 408,771,630,957,681 is 797258440440.

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.

408 x 771 x 630 x 957 x 681 = 129155867351280

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.

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

771 : 1, 3, 257, 771

630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

957 : 1, 3, 11, 29, 33, 87, 319, 957

681 : 1, 3, 227, 681

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 408,771,630,957,681, is 3.

Now, the common factors can be found like this.

408:2x 2x 2x 3x 17

771:3x 257

630:2x 3x 3x 5x 7

957:3x 11x 29

681:3x 227

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

2x 3x 3x 3 = 54

Therefore, the value for common factors is 54.

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 = 129155867351280/(3x54)

LCM = 129155867351280/162

LCM = 797258440440

Thus, we can understand that the LCM of 408,771,630,957,681 is 797258440440.

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

• LCM of 502, 620, 663, 304, 374
• LCM of 303, 898, 884, 324, 690
• LCM of 671, 337, 332, 607, 612
• LCM of 753, 722, 272, 281, 192
• LCM of 208, 929, 728, 329, 447

1. What is the LCM of 408, 771, 630, 957, 681?

Answer: LCM of 408, 771, 630, 957, 681 is 797258440440.

2. How to calculate the LCM of 408, 771, 630, 957, 681?

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 408, 771, 630, 957, 681.

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}.