Given numbers are 267,321,206,387

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

The LCM of 267,321,206,387 is 759192606.

Find LCM of 267,321,206,387 with Prime Factorization

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

3 x 89 x 107 x 206 x 129 = 759192606

Therefore, the lowest common multiple of 267,321,206,387 is 759192606.

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.

267 x 321 x 206 x 387 = 6832733454

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.

267 : 1, 3, 89, 267

321 : 1, 3, 107, 321

206 : 1, 2, 103, 206

387 : 1, 3, 9, 43, 129, 387

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 267,321,206,387, is 1.

Now, the common factors can be found like this.

267:3x 89

321:3x 107

206:2x 103

387:3x 3x 43

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

3x 3 = 9

Therefore, the value for common factors is 9.

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 = 6832733454/(1x9)

LCM = 6832733454/9

LCM = 759192606

Thus, we can understand that the LCM of 267,321,206,387 is 759192606.

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

• LCM of 603, 996, 893, 300
• LCM of 579, 124, 228, 652
• LCM of 570, 509, 243, 862
• LCM of 423, 544, 362, 126
• LCM of 925, 150, 828, 251

1. What is the LCM of 267, 321, 206, 387?

Answer: LCM of 267, 321, 206, 387 is 759192606.

2. How to calculate the LCM of 267, 321, 206, 387?

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 267, 321, 206, 387.

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}.