Given numbers are 262,278,249,470,678

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

The LCM of 262,278,249,470,678 is 240802917510.

Find LCM of 262,278,249,470,678 with Prime Factorization

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

2 x 3 x 131 x 139 x 83 x 235 x 113 = 240802917510

Therefore, the lowest common multiple of 262,278,249,470,678 is 240802917510.

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.

262 x 278 x 249 x 470 x 678 = 5779270020240

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.

262 : 1, 2, 131, 262

278 : 1, 2, 139, 278

249 : 1, 3, 83, 249

470 : 1, 2, 5, 10, 47, 94, 235, 470

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 262,278,249,470,678, is 1.

Now, the common factors can be found like this.

262:2x 131

278:2x 139

249:3x 83

470:2x 5x 47

678:2x 3x 113

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 = 5779270020240/(1x24)

LCM = 5779270020240/24

LCM = 240802917510

Thus, we can understand that the LCM of 262,278,249,470,678 is 240802917510.

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

• LCM of 749, 645, 948, 644, 788
• LCM of 254, 982, 456, 498, 352
• LCM of 361, 256, 162, 680, 210
• LCM of 656, 328, 736, 628, 405
• LCM of 374, 311, 472, 134, 429

1. What is the LCM of 262, 278, 249, 470, 678?

Answer: LCM of 262, 278, 249, 470, 678 is 240802917510.

2. How to calculate the LCM of 262, 278, 249, 470, 678?

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 262, 278, 249, 470, 678.

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}.