Given numbers are 432,596,268,460,986

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

The LCM of 432,596,268,460,986 is 244506031920.

Find LCM of 432,596,268,460,986 with Prime Factorization

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

2 x 2 x 108 x 149 x 67 x 115 x 493 = 244506031920

Therefore, the lowest common multiple of 432,596,268,460,986 is 244506031920.

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 596 x 268 x 460 x 986 = 31296772085760

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

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

268 : 1, 2, 4, 67, 134, 268

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

986 : 1, 2, 17, 29, 34, 58, 493, 986

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 432,596,268,460,986, is 2.

Now, the common factors can be found like this.

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

596:2x 2x 149

268:2x 2x 67

460:2x 2x 5x 23

986:2x 17x 29

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 2 = 64

Therefore, the value for common factors is 64.

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 = 31296772085760/(2x64)

LCM = 31296772085760/128

LCM = 244506031920

Thus, we can understand that the LCM of 432,596,268,460,986 is 244506031920.

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

• LCM of 182, 246, 460, 459, 740
• LCM of 728, 409, 103, 232, 827
• LCM of 664, 951, 925, 562, 140
• LCM of 900, 450, 477, 997, 262
• LCM of 489, 167, 907, 747, 439

1. What is the LCM of 432, 596, 268, 460, 986?

Answer: LCM of 432, 596, 268, 460, 986 is 244506031920.

2. How to calculate the LCM of 432, 596, 268, 460, 986?

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, 596, 268, 460, 986.

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}.