Given numbers are 208,266,156,984

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

The LCM of 208,266,156,984 is 3402672.

Find LCM of 208,266,156,984 with Prime Factorization

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

2 x 2 x 2 x 3 x 13 x 2 x 133 x 1 x 41 = 3402672

Therefore, the lowest common multiple of 208,266,156,984 is 3402672.

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.

208 x 266 x 156 x 984 = 8493069312

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.

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

266 : 1, 2, 7, 14, 19, 38, 133, 266

156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 208,266,156,984, is 2.

Now, the common factors can be found like this.

208:2x 2x 2x 2x 13

266:2x 7x 19

156:2x 2x 3x 13

984:2x 2x 2x 3x 41

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 2x 2x 2x 3x 13 = 1248

Therefore, the value for common factors is 1248.

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 = 8493069312/(2x1248)

LCM = 8493069312/2496

LCM = 3402672

Thus, we can understand that the LCM of 208,266,156,984 is 3402672.

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

• LCM of 572, 802, 388, 644
• LCM of 731, 179, 178, 469
• LCM of 799, 567, 774, 341
• LCM of 196, 227, 558, 850
• LCM of 190, 654, 468, 332

1. What is the LCM of 208, 266, 156, 984?

Answer: LCM of 208, 266, 156, 984 is 3402672.

2. How to calculate the LCM of 208, 266, 156, 984?

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 208, 266, 156, 984.

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}.