Given numbers are 366,916,756,460

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

The LCM of 366,916,756,460 is 1214464860.

Find LCM of 366,916,756,460 with Prime Factorization

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

2 x 2 x 3 x 61 x 229 x 63 x 115 = 1214464860

Therefore, the lowest common multiple of 366,916,756,460 is 1214464860.

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.

366 x 916 x 756 x 460 = 116588626560

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.

366 : 1, 2, 3, 6, 61, 122, 183, 366

916 : 1, 2, 4, 229, 458, 916

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 366,916,756,460, is 2.

Now, the common factors can be found like this.

366:2x 3x 61

916:2x 2x 229

756:2x 2x 3x 3x 3x 7

460:2x 2x 5x 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 2x 2x 2x 3 = 48

Therefore, the value for common factors is 48.

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 = 116588626560/(2x48)

LCM = 116588626560/96

LCM = 1214464860

Thus, we can understand that the LCM of 366,916,756,460 is 1214464860.

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

• LCM of 270, 484, 565, 281
• LCM of 599, 930, 616, 207
• LCM of 558, 797, 764, 468
• LCM of 986, 736, 287, 612
• LCM of 721, 713, 624, 671

1. What is the LCM of 366, 916, 756, 460?

Answer: LCM of 366, 916, 756, 460 is 1214464860.

2. How to calculate the LCM of 366, 916, 756, 460?

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 366, 916, 756, 460.

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}.