Given numbers are 642,267,204,345

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

The LCM of 642,267,204,345 is 223409580.

Find LCM of 642,267,204,345 with Prime Factorization

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

2 x 3 x 107 x 89 x 34 x 115 = 223409580

Therefore, the lowest common multiple of 642,267,204,345 is 223409580.

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.

642 x 267 x 204 x 345 = 12064117320

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.

642 : 1, 2, 3, 6, 107, 214, 321, 642

267 : 1, 3, 89, 267

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

345 : 1, 3, 5, 15, 23, 69, 115, 345

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 642,267,204,345, is 3.

Now, the common factors can be found like this.

642:2x 3x 107

267:3x 89

204:2x 2x 3x 17

345:3x 5x 23

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

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 12064117320/(3x18)

LCM = 12064117320/54

LCM = 223409580

Thus, we can understand that the LCM of 642,267,204,345 is 223409580.

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

• LCM of 542, 471, 673, 828
• LCM of 837, 897, 255, 509
• LCM of 125, 317, 992, 981
• LCM of 159, 428, 773, 911
• LCM of 128, 846, 151, 907

1. What is the LCM of 642, 267, 204, 345?

Answer: LCM of 642, 267, 204, 345 is 223409580.

2. How to calculate the LCM of 642, 267, 204, 345?

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 642, 267, 204, 345.

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}.