Given numbers are 361,362,368,478,266

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

The LCM of 361,362,368,478,266 is 40228101424.

Find LCM of 361,362,368,478,266 with Prime Factorization

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

2 x 19 x 19 x 181 x 184 x 239 x 7 = 40228101424

Therefore, the lowest common multiple of 361,362,368,478,266 is 40228101424.

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.

361 x 362 x 368 x 478 x 266 = 6114671416448

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.

361 : 1, 19, 361

362 : 1, 2, 181, 362

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

478 : 1, 2, 239, 478

266 : 1, 2, 7, 14, 19, 38, 133, 266

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 361,362,368,478,266, is 1.

Now, the common factors can be found like this.

361:19x 19

362:2x 181

368:2x 2x 2x 2x 23

478:2x 239

266:2x 7x 19

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 19 = 152

Therefore, the value for common factors is 152.

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 = 6114671416448/(1x152)

LCM = 6114671416448/152

LCM = 40228101424

Thus, we can understand that the LCM of 361,362,368,478,266 is 40228101424.

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

• LCM of 300, 975, 307, 440, 814
• LCM of 816, 637, 972, 416, 425
• LCM of 416, 739, 692, 658, 889
• LCM of 362, 424, 951, 132, 643
• LCM of 919, 459, 521, 950, 399

1. What is the LCM of 361, 362, 368, 478, 266?

Answer: LCM of 361, 362, 368, 478, 266 is 40228101424.

2. How to calculate the LCM of 361, 362, 368, 478, 266?

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 361, 362, 368, 478, 266.

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}.