Given numbers are 905,531,110,784,480

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

The LCM of 905,531,110,784,480 is 8288612640.

Find LCM of 905,531,110,784,480 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 5 x 181 x 177 x 11 x 49 x 2 = 8288612640

Therefore, the lowest common multiple of 905,531,110,784,480 is 8288612640.

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.

905 x 531 x 110 x 784 x 480 = 19892670336000

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.

905 : 1, 5, 181, 905

531 : 1, 3, 9, 59, 177, 531

110 : 1, 2, 5, 10, 11, 22, 55, 110

784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 905,531,110,784,480, is 1.

Now, the common factors can be found like this.

905:5x 181

531:3x 3x 59

110:2x 5x 11

784:2x 2x 2x 2x 7x 7

480:2x 2x 2x 2x 2x 3x 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 5x 5 = 2400

Therefore, the value for common factors is 2400.

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 = 19892670336000/(1x2400)

LCM = 19892670336000/2400

LCM = 8288612640

Thus, we can understand that the LCM of 905,531,110,784,480 is 8288612640.

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

• LCM of 863, 997, 874, 709, 100
• LCM of 706, 326, 456, 835, 458
• LCM of 662, 663, 757, 557, 513
• LCM of 776, 367, 549, 405, 840
• LCM of 773, 258, 859, 508, 221

1. What is the LCM of 905, 531, 110, 784, 480?

Answer: LCM of 905, 531, 110, 784, 480 is 8288612640.

2. How to calculate the LCM of 905, 531, 110, 784, 480?

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 905, 531, 110, 784, 480.

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}.