Given numbers are 286,331,209,432

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

The LCM of 286,331,209,432 is 388509264.

Find LCM of 286,331,209,432 with Prime Factorization

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

2 x 11 x 13 x 331 x 19 x 216 = 388509264

Therefore, the lowest common multiple of 286,331,209,432 is 388509264.

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.

286 x 331 x 209 x 432 = 8547203808

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.

286 : 1, 2, 11, 13, 22, 26, 143, 286

331 : 1, 331

209 : 1, 11, 19, 209

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 286,331,209,432, is 1.

Now, the common factors can be found like this.

286:2x 11x 13

331:331

209:11x 19

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

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 11 = 22

Therefore, the value for common factors is 22.

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 = 8547203808/(1x22)

LCM = 8547203808/22

LCM = 388509264

Thus, we can understand that the LCM of 286,331,209,432 is 388509264.

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

• LCM of 114, 526, 157, 271
• LCM of 942, 897, 369, 633
• LCM of 955, 111, 710, 910
• LCM of 891, 196, 173, 480
• LCM of 879, 145, 741, 136

1. What is the LCM of 286, 331, 209, 432?

Answer: LCM of 286, 331, 209, 432 is 388509264.

2. How to calculate the LCM of 286, 331, 209, 432?

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 286, 331, 209, 432.

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}.