Given numbers are 420,444,122,163,768

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

The LCM of 420,444,122,163,768 is 9888910080.

Find LCM of 420,444,122,163,768 with Prime Factorization

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

2 x 2 x 3 x 35 x 37 x 61 x 163 x 64 = 9888910080

Therefore, the lowest common multiple of 420,444,122,163,768 is 9888910080.

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.

420 x 444 x 122 x 163 x 768 = 2848006103040

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.

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

444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

122 : 1, 2, 61, 122

163 : 1, 163

768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 420,444,122,163,768, is 1.

Now, the common factors can be found like this.

420:2x 2x 3x 5x 7

444:2x 2x 3x 37

122:2x 61

163:163

768:2x 2x 2x 2x 2x 2x 2x 2x 3

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 3x 3 = 288

Therefore, the value for common factors is 288.

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 = 2848006103040/(1x288)

LCM = 2848006103040/288

LCM = 9888910080

Thus, we can understand that the LCM of 420,444,122,163,768 is 9888910080.

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

• LCM of 169, 711, 270, 901, 920
• LCM of 904, 856, 635, 976, 407
• LCM of 629, 796, 518, 264, 560
• LCM of 601, 933, 746, 811, 178
• LCM of 595, 701, 288, 692, 800

1. What is the LCM of 420, 444, 122, 163, 768?

Answer: LCM of 420, 444, 122, 163, 768 is 9888910080.

2. How to calculate the LCM of 420, 444, 122, 163, 768?

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 420, 444, 122, 163, 768.

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}.