Given numbers are 488,909,828,900

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

The LCM of 488,909,828,900 is 255065400.

Find LCM of 488,909,828,900 with Prime Factorization

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

2 x 2 x 3 x 3 x 122 x 101 x 23 x 25 = 255065400

Therefore, the lowest common multiple of 488,909,828,900 is 255065400.

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 909 x 828 x 900 = 330564758400

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

909 : 1, 3, 9, 101, 303, 909

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

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 488,909,828,900, is 1.

Now, the common factors can be found like this.

488:2x 2x 2x 61

909:3x 3x 101

828:2x 2x 3x 3x 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 3x 3x 3x 3 = 1296

Therefore, the value for common factors is 1296.

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 = 330564758400/(1x1296)

LCM = 330564758400/1296

LCM = 255065400

Thus, we can understand that the LCM of 488,909,828,900 is 255065400.

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

• LCM of 183, 200, 827, 178
• LCM of 929, 792, 233, 957
• LCM of 863, 692, 734, 385
• LCM of 352, 356, 460, 529
• LCM of 313, 274, 631, 565

1. What is the LCM of 488, 909, 828, 900?

Answer: LCM of 488, 909, 828, 900 is 255065400.

2. How to calculate the LCM of 488, 909, 828, 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, 909, 828, 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}.