Given numbers are 427,104,442,259,715

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

The LCM of 427,104,442,259,715 is 1536294760.

Find LCM of 427,104,442,259,715 with Prime Factorization

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

2 x 7 x 13 x 61 x 4 x 17 x 37 x 55 = 1536294760

Therefore, the lowest common multiple of 427,104,442,259,715 is 1536294760.

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.

427 x 104 x 442 x 259 x 715 = 3634873402160

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.

427 : 1, 7, 61, 427

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

442 : 1, 2, 13, 17, 26, 34, 221, 442

259 : 1, 7, 37, 259

715 : 1, 5, 11, 13, 55, 65, 143, 715

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 427,104,442,259,715, is 1.

Now, the common factors can be found like this.

427:7x 61

104:2x 2x 2x 13

442:2x 13x 17

259:7x 37

715:5x 11x 13

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 7x 13x 13 = 2366

Therefore, the value for common factors is 2366.

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 = 3634873402160/(1x2366)

LCM = 3634873402160/2366

LCM = 1536294760

Thus, we can understand that the LCM of 427,104,442,259,715 is 1536294760.

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

• LCM of 294, 470, 235, 240, 846
• LCM of 202, 816, 935, 164, 277
• LCM of 279, 469, 603, 185, 530
• LCM of 524, 210, 771, 882, 842
• LCM of 216, 222, 491, 317, 182

1. What is the LCM of 427, 104, 442, 259, 715?

Answer: LCM of 427, 104, 442, 259, 715 is 1536294760.

2. How to calculate the LCM of 427, 104, 442, 259, 715?

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 427, 104, 442, 259, 715.

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}.