Given numbers are 366,924,351,642,290

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

The LCM of 366,924,351,642,290 is 102315032820.

Find LCM of 366,924,351,642,290 with Prime Factorization

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

2 x 3 x 61 x 154 x 117 x 107 x 145 = 102315032820

Therefore, the lowest common multiple of 366,924,351,642,290 is 102315032820.

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 924 x 351 x 642 x 290 = 22100047089120

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

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

351 : 1, 3, 9, 13, 27, 39, 117, 351

642 : 1, 2, 3, 6, 107, 214, 321, 642

290 : 1, 2, 5, 10, 29, 58, 145, 290

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 366,924,351,642,290, is 1.

Now, the common factors can be found like this.

366:2x 3x 61

924:2x 2x 3x 7x 11

351:3x 3x 3x 13

642:2x 3x 107

290:2x 5x 29

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 3x 3x 3 = 216

Therefore, the value for common factors is 216.

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 = 22100047089120/(1x216)

LCM = 22100047089120/216

LCM = 102315032820

Thus, we can understand that the LCM of 366,924,351,642,290 is 102315032820.

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

• LCM of 100, 183, 351, 657, 636
• LCM of 196, 374, 532, 434, 937
• LCM of 539, 987, 485, 175, 173
• LCM of 702, 938, 377, 253, 580
• LCM of 368, 688, 738, 962, 870

1. What is the LCM of 366, 924, 351, 642, 290?

Answer: LCM of 366, 924, 351, 642, 290 is 102315032820.

2. How to calculate the LCM of 366, 924, 351, 642, 290?

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, 924, 351, 642, 290.

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}.