Given numbers are 204,432,972,788

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

The LCM of 204,432,972,788 is 13020912.

Find LCM of 204,432,972,788 with Prime Factorization

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

2 x 2 x 3 x 3 x 3 x 17 x 4 x 9 x 197 = 13020912

Therefore, the lowest common multiple of 204,432,972,788 is 13020912.

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.

204 x 432 x 972 x 788 = 67500407808

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.

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

788 : 1, 2, 4, 197, 394, 788

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 204,432,972,788, is 4.

Now, the common factors can be found like this.

204:2x 2x 3x 17

432:2x 2x 2x 2x 3x 3x 3

972:2x 2x 3x 3x 3x 3x 3

788:2x 2x 197

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 = 67500407808/(4x1296)

LCM = 67500407808/5184

LCM = 13020912

Thus, we can understand that the LCM of 204,432,972,788 is 13020912.

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

• LCM of 444, 918, 794, 265
• LCM of 527, 846, 395, 977
• LCM of 163, 481, 377, 374
• LCM of 323, 123, 100, 123
• LCM of 958, 735, 626, 845

1. What is the LCM of 204, 432, 972, 788?

Answer: LCM of 204, 432, 972, 788 is 13020912.

2. How to calculate the LCM of 204, 432, 972, 788?

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 204, 432, 972, 788.

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}.