Given numbers are 504,812,214,710,706

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

The LCM of 504,812,214,710,706 is 195981632280.

Find LCM of 504,812,214,710,706 with Prime Factorization

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

2 x 2 x 7 x 18 x 29 x 107 x 355 x 353 = 195981632280

Therefore, the lowest common multiple of 504,812,214,710,706 is 195981632280.

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 812 x 214 x 710 x 706 = 43899885630720

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

812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

214 : 1, 2, 107, 214

710 : 1, 2, 5, 10, 71, 142, 355, 710

706 : 1, 2, 353, 706

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 504,812,214,710,706, is 2.

Now, the common factors can be found like this.

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

812:2x 2x 7x 29

214:2x 107

710:2x 5x 71

706:2x 353

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 7 = 112

Therefore, the value for common factors is 112.

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 = 43899885630720/(2x112)

LCM = 43899885630720/224

LCM = 195981632280

Thus, we can understand that the LCM of 504,812,214,710,706 is 195981632280.

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

• LCM of 798, 671, 654, 405, 359
• LCM of 349, 190, 271, 340, 537
• LCM of 609, 537, 988, 127, 866
• LCM of 236, 619, 583, 558, 617
• LCM of 188, 353, 655, 385, 647

1. What is the LCM of 504, 812, 214, 710, 706?

Answer: LCM of 504, 812, 214, 710, 706 is 195981632280.

2. How to calculate the LCM of 504, 812, 214, 710, 706?

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, 812, 214, 710, 706.

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}.