Given numbers are 366,382,205,606,746

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

The LCM of 366,382,205,606,746 is 539881591290.

Find LCM of 366,382,205,606,746 with Prime Factorization

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

2 x 3 x 61 x 191 x 205 x 101 x 373 = 539881591290

Therefore, the lowest common multiple of 366,382,205,606,746 is 539881591290.

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 382 x 205 x 606 x 746 = 12957158190960

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

382 : 1, 2, 191, 382

205 : 1, 5, 41, 205

606 : 1, 2, 3, 6, 101, 202, 303, 606

746 : 1, 2, 373, 746

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 366,382,205,606,746, is 1.

Now, the common factors can be found like this.

366:2x 3x 61

382:2x 191

205:5x 41

606:2x 3x 101

746:2x 373

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 = 12957158190960/(1x24)

LCM = 12957158190960/24

LCM = 539881591290

Thus, we can understand that the LCM of 366,382,205,606,746 is 539881591290.

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

• LCM of 642, 478, 955, 156, 445
• LCM of 890, 633, 399, 250, 785
• LCM of 907, 398, 869, 404, 295
• LCM of 505, 501, 204, 397, 587
• LCM of 650, 338, 564, 695, 843

1. What is the LCM of 366, 382, 205, 606, 746?

Answer: LCM of 366, 382, 205, 606, 746 is 539881591290.

2. How to calculate the LCM of 366, 382, 205, 606, 746?

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, 382, 205, 606, 746.

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}.