Given numbers are 208,628,283,476,324

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

The LCM of 208,628,283,476,324 is 89080245072.

Find LCM of 208,628,283,476,324 with Prime Factorization

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

2 x 2 x 52 x 157 x 283 x 119 x 81 = 89080245072

Therefore, the lowest common multiple of 208,628,283,476,324 is 89080245072.

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 628 x 283 x 476 x 324 = 5701135684608

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

628 : 1, 2, 4, 157, 314, 628

283 : 1, 283

476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 208,628,283,476,324, is 1.

Now, the common factors can be found like this.

208:2x 2x 2x 2x 13

628:2x 2x 157

283:283

476:2x 2x 7x 17

324:2x 2x 3x 3x 3x 3

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 2 = 64

Therefore, the value for common factors is 64.

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 = 5701135684608/(1x64)

LCM = 5701135684608/64

LCM = 89080245072

Thus, we can understand that the LCM of 208,628,283,476,324 is 89080245072.

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

• LCM of 448, 646, 763, 514, 783
• LCM of 870, 694, 102, 378, 300
• LCM of 167, 624, 390, 824, 495
• LCM of 555, 573, 223, 779, 842
• LCM of 417, 742, 461, 314, 284

1. What is the LCM of 208, 628, 283, 476, 324?

Answer: LCM of 208, 628, 283, 476, 324 is 89080245072.

2. How to calculate the LCM of 208, 628, 283, 476, 324?

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, 628, 283, 476, 324.

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}.