Given numbers are 432,468,856,596

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

The LCM of 432,468,856,596 is 89535888.

Find LCM of 432,468,856,596 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 6 x 13 x 107 x 149 = 89535888

Therefore, the lowest common multiple of 432,468,856,596 is 89535888.

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.

432 x 468 x 856 x 596 = 103145342976

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.

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

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

856 : 1, 2, 4, 8, 107, 214, 428, 856

596 : 1, 2, 4, 149, 298, 596

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 432,468,856,596, is 4.

Now, the common factors can be found like this.

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

468:2x 2x 3x 3x 13

856:2x 2x 2x 107

596:2x 2x 149

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 3 = 288

Therefore, the value for common factors is 288.

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 = 103145342976/(4x288)

LCM = 103145342976/1152

LCM = 89535888

Thus, we can understand that the LCM of 432,468,856,596 is 89535888.

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

• LCM of 255, 148, 732, 861
• LCM of 151, 133, 910, 595
• LCM of 614, 250, 381, 419
• LCM of 983, 891, 891, 134
• LCM of 491, 520, 600, 199

1. What is the LCM of 432, 468, 856, 596?

Answer: LCM of 432, 468, 856, 596 is 89535888.

2. How to calculate the LCM of 432, 468, 856, 596?

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 432, 468, 856, 596.

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}.