Given numbers are 488,828,229,322,900

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

The LCM of 488,828,229,322,900 is 4048216200.

Find LCM of 488,828,229,322,900 with Prime Factorization

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

2 x 2 x 3 x 3 x 23 x 122 x 1 x 229 x 7 x 25 = 4048216200

Therefore, the lowest common multiple of 488,828,229,322,900 is 4048216200.

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.

488 x 828 x 229 x 322 x 900 = 26815384108800

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.

488 : 1, 2, 4, 8, 61, 122, 244, 488

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

229 : 1, 229

322 : 1, 2, 7, 14, 23, 46, 161, 322

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 488,828,229,322,900, is 1.

Now, the common factors can be found like this.

488:2x 2x 2x 61

828:2x 2x 3x 3x 23

229:229

322:2x 7x 23

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 3x 3x 23 = 6624

Therefore, the value for common factors is 6624.

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 = 26815384108800/(1x6624)

LCM = 26815384108800/6624

LCM = 4048216200

Thus, we can understand that the LCM of 488,828,229,322,900 is 4048216200.

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

• LCM of 469, 720, 851, 117, 554
• LCM of 963, 982, 271, 441, 174
• LCM of 960, 802, 900, 501, 499
• LCM of 948, 645, 399, 763, 693
• LCM of 856, 863, 583, 771, 467

1. What is the LCM of 488, 828, 229, 322, 900?

Answer: LCM of 488, 828, 229, 322, 900 is 4048216200.

2. How to calculate the LCM of 488, 828, 229, 322, 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 488, 828, 229, 322, 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}.