Given numbers are 208,546,104,658

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

The LCM of 208,546,104,658 is 205296.

Find LCM of 208,546,104,658 with Prime Factorization

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

2 x 2 x 2 x 7 x 13 x 1 x 3 x 2 x 47 = 205296

Therefore, the lowest common multiple of 208,546,104,658 is 205296.

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 546 x 104 x 658 = 7771685376

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

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

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

658 : 1, 2, 7, 14, 47, 94, 329, 658

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 208,546,104,658, is 2.

Now, the common factors can be found like this.

208:2x 2x 2x 2x 13

546:2x 3x 7x 13

104:2x 2x 2x 13

658:2x 7x 47

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 7x 13x 13 = 18928

Therefore, the value for common factors is 18928.

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 = 7771685376/(2x18928)

LCM = 7771685376/37856

LCM = 205296

Thus, we can understand that the LCM of 208,546,104,658 is 205296.

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

• LCM of 538, 318, 664, 152
• LCM of 752, 824, 304, 506
• LCM of 614, 592, 696, 733
• LCM of 818, 376, 746, 694
• LCM of 278, 204, 967, 683

1. What is the LCM of 208, 546, 104, 658?

Answer: LCM of 208, 546, 104, 658 is 205296.

2. How to calculate the LCM of 208, 546, 104, 658?

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, 546, 104, 658.

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}.