Given numbers are 504,204,711,529,342

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

The LCM of 504,204,711,529,342 is 6803240472.

Find LCM of 504,204,711,529,342 with Prime Factorization

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

2 x 2 x 3 x 3 x 14 x 17 x 79 x 529 x 19 = 6803240472

Therefore, the lowest common multiple of 504,204,711,529,342 is 6803240472.

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 204 x 711 x 529 x 342 = 13225499477568

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

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

711 : 1, 3, 9, 79, 237, 711

529 : 1, 23, 529

342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 504,204,711,529,342, is 1.

Now, the common factors can be found like this.

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

204:2x 2x 3x 17

711:3x 3x 79

529:23x 23

342:2x 3x 3x 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 3x 3x 3x 3x 3 = 1944

Therefore, the value for common factors is 1944.

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 = 13225499477568/(1x1944)

LCM = 13225499477568/1944

LCM = 6803240472

Thus, we can understand that the LCM of 504,204,711,529,342 is 6803240472.

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

• LCM of 508, 803, 381, 693, 372
• LCM of 265, 641, 677, 407, 507
• LCM of 766, 573, 615, 465, 836
• LCM of 670, 633, 176, 657, 603
• LCM of 740, 151, 718, 230, 280

1. What is the LCM of 504, 204, 711, 529, 342?

Answer: LCM of 504, 204, 711, 529, 342 is 6803240472.

2. How to calculate the LCM of 504, 204, 711, 529, 342?

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, 204, 711, 529, 342.

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}.