Given numbers are 285,278,298,368

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

The LCM of 285,278,298,368 is 2172169680.

Find LCM of 285,278,298,368 with Prime Factorization

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

2 x 285 x 139 x 149 x 184 = 2172169680

Therefore, the lowest common multiple of 285,278,298,368 is 2172169680.

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.

285 x 278 x 298 x 368 = 8688678720

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.

285 : 1, 3, 5, 15, 19, 57, 95, 285

278 : 1, 2, 139, 278

298 : 1, 2, 149, 298

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 285,278,298,368, is 1.

Now, the common factors can be found like this.

285:3x 5x 19

278:2x 139

298:2x 149

368:2x 2x 2x 2x 23

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 8688678720/(1x4)

LCM = 8688678720/4

LCM = 2172169680

Thus, we can understand that the LCM of 285,278,298,368 is 2172169680.

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

• LCM of 261, 438, 443, 975
• LCM of 750, 136, 325, 905
• LCM of 112, 287, 414, 178
• LCM of 307, 556, 425, 715
• LCM of 940, 840, 328, 364

1. What is the LCM of 285, 278, 298, 368?

Answer: LCM of 285, 278, 298, 368 is 2172169680.

2. How to calculate the LCM of 285, 278, 298, 368?

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 285, 278, 298, 368.

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}.