Given numbers are 312,305,624,877,442

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

The LCM of 312,305,624,877,442 is 2837480880.

Find LCM of 312,305,624,877,442 with Prime Factorization

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

2 x 2 x 2 x 3 x 13 x 1 x 305 x 2 x 877 x 17 = 2837480880

Therefore, the lowest common multiple of 312,305,624,877,442 is 2837480880.

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.

312 x 305 x 624 x 877 x 442 = 23017644898560

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.

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

305 : 1, 5, 61, 305

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

877 : 1, 877

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 312,305,624,877,442, is 1.

Now, the common factors can be found like this.

312:2x 2x 2x 3x 13

305:5x 61

624:2x 2x 2x 2x 3x 13

877:877

442:2x 13x 17

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 3x 13x 13 = 8112

Therefore, the value for common factors is 8112.

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 = 23017644898560/(1x8112)

LCM = 23017644898560/8112

LCM = 2837480880

Thus, we can understand that the LCM of 312,305,624,877,442 is 2837480880.

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

• LCM of 384, 223, 907, 975, 579
• LCM of 464, 794, 395, 715, 177
• LCM of 229, 446, 422, 365, 286
• LCM of 814, 515, 554, 209, 205
• LCM of 635, 359, 233, 794, 613

1. What is the LCM of 312, 305, 624, 877, 442?

Answer: LCM of 312, 305, 624, 877, 442 is 2837480880.

2. How to calculate the LCM of 312, 305, 624, 877, 442?

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 312, 305, 624, 877, 442.

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}.