Given numbers are 822,257,201,208

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

The LCM of 822,257,201,208 is 1472017872.

Find LCM of 822,257,201,208 with Prime Factorization

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

2 x 3 x 137 x 257 x 67 x 104 = 1472017872

Therefore, the lowest common multiple of 822,257,201,208 is 1472017872.

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.

822 x 257 x 201 x 208 = 8832107232

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.

822 : 1, 2, 3, 6, 137, 274, 411, 822

257 : 1, 257

201 : 1, 3, 67, 201

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 822,257,201,208, is 1.

Now, the common factors can be found like this.

822:2x 3x 137

257:257

201:3x 67

208:2x 2x 2x 2x 13

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 8832107232/(1x6)

LCM = 8832107232/6

LCM = 1472017872

Thus, we can understand that the LCM of 822,257,201,208 is 1472017872.

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

• LCM of 596, 583, 764, 436
• LCM of 434, 944, 307, 327
• LCM of 785, 397, 170, 782
• LCM of 671, 171, 739, 515
• LCM of 838, 951, 304, 458

1. What is the LCM of 822, 257, 201, 208?

Answer: LCM of 822, 257, 201, 208 is 1472017872.

2. How to calculate the LCM of 822, 257, 201, 208?

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 822, 257, 201, 208.

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}.