Given numbers are 353,386,816,406,676

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

The LCM of 353,386,816,406,676 is 1907238108048.

Find LCM of 353,386,816,406,676 with Prime Factorization

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

2 x 2 x 353 x 193 x 204 x 203 x 169 = 1907238108048

Therefore, the lowest common multiple of 353,386,816,406,676 is 1907238108048.

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.

353 x 386 x 816 x 406 x 676 = 30515809728768

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.

353 : 1, 353

386 : 1, 2, 193, 386

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

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

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 353,386,816,406,676, is 1.

Now, the common factors can be found like this.

353:353

386:2x 193

816:2x 2x 2x 2x 3x 17

406:2x 7x 29

676:2x 2x 13x 13

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 2 = 16

Therefore, the value for common factors is 16.

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 = 30515809728768/(1x16)

LCM = 30515809728768/16

LCM = 1907238108048

Thus, we can understand that the LCM of 353,386,816,406,676 is 1907238108048.

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

• LCM of 679, 710, 534, 264, 169
• LCM of 651, 506, 681, 543, 364
• LCM of 602, 549, 845, 352, 555
• LCM of 218, 928, 768, 215, 508
• LCM of 188, 802, 448, 669, 872

1. What is the LCM of 353, 386, 816, 406, 676?

Answer: LCM of 353, 386, 816, 406, 676 is 1907238108048.

2. How to calculate the LCM of 353, 386, 816, 406, 676?

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 353, 386, 816, 406, 676.

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}.