Given numbers are 504,336,207,319

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

The LCM of 504,336,207,319 is 7395696.

Find LCM of 504,336,207,319 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 7 x 1 x 2 x 23 x 319 = 7395696

Therefore, the lowest common multiple of 504,336,207,319 is 7395696.

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.

504 x 336 x 207 x 319 = 11182292352

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.

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

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

207 : 1, 3, 9, 23, 69, 207

319 : 1, 11, 29, 319

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 504,336,207,319, is 1.

Now, the common factors can be found like this.

504:2x 2x 2x 3x 3x 7

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

207:3x 3x 23

319:11x 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 3x 7 = 1512

Therefore, the value for common factors is 1512.

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 = 11182292352/(1x1512)

LCM = 11182292352/1512

LCM = 7395696

Thus, we can understand that the LCM of 504,336,207,319 is 7395696.

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

• LCM of 467, 233, 573, 126
• LCM of 431, 683, 637, 842
• LCM of 711, 713, 760, 644
• LCM of 695, 411, 272, 408
• LCM of 891, 451, 689, 518

1. What is the LCM of 504, 336, 207, 319?

Answer: LCM of 504, 336, 207, 319 is 7395696.

2. How to calculate the LCM of 504, 336, 207, 319?

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 504, 336, 207, 319.

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}.