Given numbers are 428,828,508,489,900

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

The LCM of 428,828,508,489,900 is 45850644900.

Find LCM of 428,828,508,489,900 with Prime Factorization

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

2 x 2 x 3 x 3 x 107 x 23 x 127 x 163 x 25 = 45850644900

Therefore, the lowest common multiple of 428,828,508,489,900 is 45850644900.

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.

428 x 828 x 508 x 489 x 900 = 79229914387200

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.

428 : 1, 2, 4, 107, 214, 428

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

508 : 1, 2, 4, 127, 254, 508

489 : 1, 3, 163, 489

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 428,828,508,489,900, is 1.

Now, the common factors can be found like this.

428:2x 2x 107

828:2x 2x 3x 3x 23

508:2x 2x 127

489:3x 163

900:2x 2x 3x 3x 5x 5

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 3 = 1728

Therefore, the value for common factors is 1728.

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 = 79229914387200/(1x1728)

LCM = 79229914387200/1728

LCM = 45850644900

Thus, we can understand that the LCM of 428,828,508,489,900 is 45850644900.

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

• LCM of 821, 760, 418, 893, 846
• LCM of 337, 825, 355, 859, 805
• LCM of 219, 740, 675, 944, 518
• LCM of 880, 712, 204, 426, 877
• LCM of 802, 251, 799, 182, 862

1. What is the LCM of 428, 828, 508, 489, 900?

Answer: LCM of 428, 828, 508, 489, 900 is 45850644900.

2. How to calculate the LCM of 428, 828, 508, 489, 900?

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 428, 828, 508, 489, 900.

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}.