Given numbers are 633,316,480,900

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

The LCM of 633,316,480,900 is 120016800.

Find LCM of 633,316,480,900 with Prime Factorization

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

2 x 2 x 3 x 5 x 211 x 79 x 8 x 15 = 120016800

Therefore, the lowest common multiple of 633,316,480,900 is 120016800.

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.

633 x 316 x 480 x 900 = 86412096000

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.

633 : 1, 3, 211, 633

316 : 1, 2, 4, 79, 158, 316

480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

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 633,316,480,900, is 1.

Now, the common factors can be found like this.

633:3x 211

316:2x 2x 79

480:2x 2x 2x 2x 2x 3x 5

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 5 = 720

Therefore, the value for common factors is 720.

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 = 86412096000/(1x720)

LCM = 86412096000/720

LCM = 120016800

Thus, we can understand that the LCM of 633,316,480,900 is 120016800.

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

• LCM of 852, 472, 110, 806
• LCM of 898, 660, 551, 357
• LCM of 982, 743, 485, 851
• LCM of 935, 929, 844, 449
• LCM of 955, 101, 835, 164

1. What is the LCM of 633, 316, 480, 900?

Answer: LCM of 633, 316, 480, 900 is 120016800.

2. How to calculate the LCM of 633, 316, 480, 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 633, 316, 480, 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}.