Given numbers are 352,406,116,306,646

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

The LCM of 352,406,116,306,646 is 207722592.

Find LCM of 352,406,116,306,646 with Prime Factorization

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

2 x 2 x 17 x 29 x 88 x 7 x 1 x 9 x 19 = 207722592

Therefore, the lowest common multiple of 352,406,116,306,646 is 207722592.

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.

352 x 406 x 116 x 306 x 646 = 3277031611392

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.

352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

406 : 1, 2, 7, 14, 29, 58, 203, 406

116 : 1, 2, 4, 29, 58, 116

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

646 : 1, 2, 17, 19, 34, 38, 323, 646

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 352,406,116,306,646, is 2.

Now, the common factors can be found like this.

352:2x 2x 2x 2x 2x 11

406:2x 7x 29

116:2x 2x 29

306:2x 3x 3x 17

646:2x 17x 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 2x 17x 29 = 7888

Therefore, the value for common factors is 7888.

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 = 3277031611392/(2x7888)

LCM = 3277031611392/15776

LCM = 207722592

Thus, we can understand that the LCM of 352,406,116,306,646 is 207722592.

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

• LCM of 667, 439, 160, 697, 623
• LCM of 298, 601, 592, 940, 813
• LCM of 281, 122, 274, 197, 456
• LCM of 362, 552, 583, 978, 958
• LCM of 228, 552, 216, 687, 955

1. What is the LCM of 352, 406, 116, 306, 646?

Answer: LCM of 352, 406, 116, 306, 646 is 207722592.

2. How to calculate the LCM of 352, 406, 116, 306, 646?

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 352, 406, 116, 306, 646.

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}.