Given numbers are 698,234,208,901,922

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

The LCM of 698,234,208,901,922 is 271366971408.

Find LCM of 698,234,208,901,922 with Prime Factorization

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

2 x 13 x 349 x 9 x 8 x 901 x 461 = 271366971408

Therefore, the lowest common multiple of 698,234,208,901,922 is 271366971408.

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.

698 x 234 x 208 x 901 x 922 = 28222165026432

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.

698 : 1, 2, 349, 698

234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

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

901 : 1, 17, 53, 901

922 : 1, 2, 461, 922

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 698,234,208,901,922, is 1.

Now, the common factors can be found like this.

698:2x 349

234:2x 3x 3x 13

208:2x 2x 2x 2x 13

901:17x 53

922:2x 461

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 13 = 104

Therefore, the value for common factors is 104.

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 = 28222165026432/(1x104)

LCM = 28222165026432/104

LCM = 271366971408

Thus, we can understand that the LCM of 698,234,208,901,922 is 271366971408.

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

• LCM of 412, 747, 228, 598, 132
• LCM of 132, 857, 859, 215, 370
• LCM of 629, 395, 810, 835, 487
• LCM of 751, 323, 896, 792, 515
• LCM of 679, 557, 687, 783, 151

1. What is the LCM of 698, 234, 208, 901, 922?

Answer: LCM of 698, 234, 208, 901, 922 is 271366971408.

2. How to calculate the LCM of 698, 234, 208, 901, 922?

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 698, 234, 208, 901, 922.

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}.