Given numbers are 321,208,201,207

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

The LCM of 321,208,201,207 is 308668464.

Find LCM of 321,208,201,207 with Prime Factorization

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

3 x 107 x 208 x 67 x 69 = 308668464

Therefore, the lowest common multiple of 321,208,201,207 is 308668464.

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.

321 x 208 x 201 x 207 = 2778016176

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.

321 : 1, 3, 107, 321

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

201 : 1, 3, 67, 201

207 : 1, 3, 9, 23, 69, 207

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 321,208,201,207, is 1.

Now, the common factors can be found like this.

321:3x 107

208:2x 2x 2x 2x 13

201:3x 67

207:3x 3x 23

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 = 2778016176/(1x9)

LCM = 2778016176/9

LCM = 308668464

Thus, we can understand that the LCM of 321,208,201,207 is 308668464.

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

• LCM of 467, 669, 600, 232
• LCM of 207, 256, 282, 435
• LCM of 179, 642, 979, 222
• LCM of 666, 762, 357, 150
• LCM of 734, 636, 682, 495

1. What is the LCM of 321, 208, 201, 207?

Answer: LCM of 321, 208, 201, 207 is 308668464.

2. How to calculate the LCM of 321, 208, 201, 207?

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 321, 208, 201, 207.

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}.