Given numbers are 120,489,864,566,420

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

The LCM of 120,489,864,566,420 is 1394940960.

Find LCM of 120,489,864,566,420 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 1 x 163 x 36 x 283 x 7 = 1394940960

Therefore, the lowest common multiple of 120,489,864,566,420 is 1394940960.

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.

120 x 489 x 864 x 566 x 420 = 12052289894400

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.

120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

489 : 1, 3, 163, 489

864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

566 : 1, 2, 283, 566

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 120,489,864,566,420, is 1.

Now, the common factors can be found like this.

120:2x 2x 2x 3x 5

489:3x 163

864:2x 2x 2x 2x 2x 3x 3x 3

566:2x 283

420:2x 2x 3x 5x 7

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 2x 2x 3x 3x 3x 5 = 8640

Therefore, the value for common factors is 8640.

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 = 12052289894400/(1x8640)

LCM = 12052289894400/8640

LCM = 1394940960

Thus, we can understand that the LCM of 120,489,864,566,420 is 1394940960.

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

• LCM of 832, 257, 979, 564, 175
• LCM of 901, 560, 627, 139, 856
• LCM of 423, 871, 255, 714, 159
• LCM of 882, 899, 413, 880, 569
• LCM of 805, 159, 300, 873, 973

1. What is the LCM of 120, 489, 864, 566, 420?

Answer: LCM of 120, 489, 864, 566, 420 is 1394940960.

2. How to calculate the LCM of 120, 489, 864, 566, 420?

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 120, 489, 864, 566, 420.

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}.