Given numbers are 431,12,206,232

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

The LCM of 431,12,206,232 is 30897528.

Find LCM of 431,12,206,232 with Prime Factorization

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

2 x 2 x 431 x 3 x 103 x 58 = 30897528

Therefore, the lowest common multiple of 431,12,206,232 is 30897528.

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.

431 x 12 x 206 x 232 = 247180224

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.

431 : 1, 431

12 : 1, 2, 3, 4, 6, 12

206 : 1, 2, 103, 206

232 : 1, 2, 4, 8, 29, 58, 116, 232

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 431,12,206,232, is 1.

Now, the common factors can be found like this.

431:431

12:2x 2x 3

206:2x 103

232:2x 2x 2x 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 2 = 8

Therefore, the value for common factors is 8.

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 = 247180224/(1x8)

LCM = 247180224/8

LCM = 30897528

Thus, we can understand that the LCM of 431,12,206,232 is 30897528.

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

• LCM of 118, 63, 294, 115
• LCM of 623, 47, 988, 650
• LCM of 231, 57, 931, 567
• LCM of 485, 35, 907, 122
• LCM of 961, 20, 868, 758

1. What is the LCM of 431, 12, 206, 232?

Answer: LCM of 431, 12, 206, 232 is 30897528.

2. How to calculate the LCM of 431, 12, 206, 232?

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 431, 12, 206, 232.

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}.