Given numbers are 343,264,551,920,208

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

The LCM of 343,264,551,920,208 is 149183514480.

Find LCM of 343,264,551,920,208 with Prime Factorization

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

2 x 2 x 2 x 343 x 33 x 551 x 115 x 26 = 149183514480

Therefore, the lowest common multiple of 343,264,551,920,208 is 149183514480.

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.

343 x 264 x 551 x 920 x 208 = 9547744926720

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.

343 : 1, 7, 49, 343

264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

551 : 1, 19, 29, 551

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 343,264,551,920,208, is 1.

Now, the common factors can be found like this.

343:7x 7x 7

264:2x 2x 2x 3x 11

551:19x 29

920:2x 2x 2x 5x 23

208:2x 2x 2x 2x 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 2x 2x 2 = 64

Therefore, the value for common factors is 64.

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 = 9547744926720/(1x64)

LCM = 9547744926720/64

LCM = 149183514480

Thus, we can understand that the LCM of 343,264,551,920,208 is 149183514480.

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

• LCM of 542, 236, 912, 212, 135
• LCM of 470, 162, 126, 519, 785
• LCM of 815, 110, 449, 536, 444
• LCM of 613, 825, 102, 535, 774
• LCM of 311, 432, 624, 537, 843

1. What is the LCM of 343, 264, 551, 920, 208?

Answer: LCM of 343, 264, 551, 920, 208 is 149183514480.

2. How to calculate the LCM of 343, 264, 551, 920, 208?

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 343, 264, 551, 920, 208.

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}.