Given numbers are 208,368,664,635,869

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

The LCM of 208,368,664,635,869 is 219110285680.

Find LCM of 208,368,664,635,869 with Prime Factorization

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

2 x 2 x 2 x 2 x 13 x 23 x 83 x 635 x 869 = 219110285680

Therefore, the lowest common multiple of 208,368,664,635,869 is 219110285680.

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 368 x 664 x 635 x 869 = 28046116567040

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

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

664 : 1, 2, 4, 8, 83, 166, 332, 664

635 : 1, 5, 127, 635

869 : 1, 11, 79, 869

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 208,368,664,635,869, is 1.

Now, the common factors can be found like this.

208:2x 2x 2x 2x 13

368:2x 2x 2x 2x 23

664:2x 2x 2x 83

635:5x 127

869:11x 79

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 2x 2 = 128

Therefore, the value for common factors is 128.

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 = 28046116567040/(1x128)

LCM = 28046116567040/128

LCM = 219110285680

Thus, we can understand that the LCM of 208,368,664,635,869 is 219110285680.

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

• LCM of 863, 199, 820, 455, 943
• LCM of 533, 820, 939, 260, 632
• LCM of 285, 909, 923, 306, 839
• LCM of 678, 538, 115, 887, 216
• LCM of 591, 719, 349, 880, 321

1. What is the LCM of 208, 368, 664, 635, 869?

Answer: LCM of 208, 368, 664, 635, 869 is 219110285680.

2. How to calculate the LCM of 208, 368, 664, 635, 869?

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, 368, 664, 635, 869.

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}.