Given numbers are 905,284,279,678,356

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

The LCM of 905,284,279,678,356 is 721173189060.

Find LCM of 905,284,279,678,356 with Prime Factorization

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

2 x 2 x 3 x 905 x 71 x 93 x 113 x 89 = 721173189060

Therefore, the lowest common multiple of 905,284,279,678,356 is 721173189060.

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.

905 x 284 x 279 x 678 x 356 = 17308156537440

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.

905 : 1, 5, 181, 905

284 : 1, 2, 4, 71, 142, 284

279 : 1, 3, 9, 31, 93, 279

678 : 1, 2, 3, 6, 113, 226, 339, 678

356 : 1, 2, 4, 89, 178, 356

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 905,284,279,678,356, is 1.

Now, the common factors can be found like this.

905:5x 181

284:2x 2x 71

279:3x 3x 31

678:2x 3x 113

356:2x 2x 89

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 3 = 24

Therefore, the value for common factors is 24.

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 = 17308156537440/(1x24)

LCM = 17308156537440/24

LCM = 721173189060

Thus, we can understand that the LCM of 905,284,279,678,356 is 721173189060.

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

• LCM of 423, 805, 341, 503, 855
• LCM of 401, 491, 387, 318, 951
• LCM of 950, 714, 110, 343, 807
• LCM of 818, 235, 441, 514, 663
• LCM of 737, 691, 761, 320, 315

1. What is the LCM of 905, 284, 279, 678, 356?

Answer: LCM of 905, 284, 279, 678, 356 is 721173189060.

2. How to calculate the LCM of 905, 284, 279, 678, 356?

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 905, 284, 279, 678, 356.

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}.