Given numbers are 336,313,351,497,354

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

The LCM of 336,313,351,497,354 is 51544203984.

Find LCM of 336,313,351,497,354 with Prime Factorization

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

2 x 3 x 7 x 8 x 313 x 117 x 71 x 59 = 51544203984

Therefore, the lowest common multiple of 336,313,351,497,354 is 51544203984.

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.

336 x 313 x 351 x 497 x 354 = 6494569701984

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.

336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

313 : 1, 313

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

497 : 1, 7, 71, 497

354 : 1, 2, 3, 6, 59, 118, 177, 354

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 336,313,351,497,354, is 1.

Now, the common factors can be found like this.

336:2x 2x 2x 2x 3x 7

313:313

351:3x 3x 3x 13

497:7x 71

354:2x 3x 59

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3x 7 = 126

Therefore, the value for common factors is 126.

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 = 6494569701984/(1x126)

LCM = 6494569701984/126

LCM = 51544203984

Thus, we can understand that the LCM of 336,313,351,497,354 is 51544203984.

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

• LCM of 400, 357, 538, 774, 810
• LCM of 621, 402, 137, 772, 525
• LCM of 156, 395, 506, 351, 461
• LCM of 949, 641, 726, 553, 741
• LCM of 970, 121, 110, 292, 775

1. What is the LCM of 336, 313, 351, 497, 354?

Answer: LCM of 336, 313, 351, 497, 354 is 51544203984.

2. How to calculate the LCM of 336, 313, 351, 497, 354?

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 336, 313, 351, 497, 354.

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}.