Given numbers are 278,212,284,285,862

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

The LCM of 278,212,284,285,862 is 256998826380.

Find LCM of 278,212,284,285,862 with Prime Factorization

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

2 x 2 x 139 x 53 x 71 x 285 x 431 = 256998826380

Therefore, the lowest common multiple of 278,212,284,285,862 is 256998826380.

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.

278 x 212 x 284 x 285 x 862 = 4111981222080

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.

278 : 1, 2, 139, 278

212 : 1, 2, 4, 53, 106, 212

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

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

862 : 1, 2, 431, 862

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 278,212,284,285,862, is 1.

Now, the common factors can be found like this.

278:2x 139

212:2x 2x 53

284:2x 2x 71

285:3x 5x 19

862:2x 431

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 2 = 16

Therefore, the value for common factors is 16.

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 = 4111981222080/(1x16)

LCM = 4111981222080/16

LCM = 256998826380

Thus, we can understand that the LCM of 278,212,284,285,862 is 256998826380.

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

• LCM of 309, 910, 174, 276, 784
• LCM of 909, 793, 917, 772, 402
• LCM of 815, 719, 557, 349, 537
• LCM of 888, 652, 677, 129, 466
• LCM of 977, 583, 317, 714, 631

1. What is the LCM of 278, 212, 284, 285, 862?

Answer: LCM of 278, 212, 284, 285, 862 is 256998826380.

2. How to calculate the LCM of 278, 212, 284, 285, 862?

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 278, 212, 284, 285, 862.

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}.