Given numbers are 714,908,484,523,585

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

The LCM of 714,908,484,523,585 is 4000145008860.

Find LCM of 714,908,484,523,585 with Prime Factorization

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

2 x 2 x 3 x 119 x 227 x 121 x 523 x 195 = 4000145008860

Therefore, the lowest common multiple of 714,908,484,523,585 is 4000145008860.

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.

714 x 908 x 484 x 523 x 585 = 96003480212640

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.

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

908 : 1, 2, 4, 227, 454, 908

484 : 1, 2, 4, 11, 22, 44, 121, 242, 484

523 : 1, 523

585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 714,908,484,523,585, is 1.

Now, the common factors can be found like this.

714:2x 3x 7x 17

908:2x 2x 227

484:2x 2x 11x 11

523:523

585:3x 3x 5x 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 3 = 24

Therefore, the value for common factors is 24.

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 = 96003480212640/(1x24)

LCM = 96003480212640/24

LCM = 4000145008860

Thus, we can understand that the LCM of 714,908,484,523,585 is 4000145008860.

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

• LCM of 188, 258, 726, 905, 865
• LCM of 466, 600, 653, 899, 577
• LCM of 519, 254, 730, 417, 725
• LCM of 580, 595, 294, 283, 329
• LCM of 155, 132, 655, 407, 768

1. What is the LCM of 714, 908, 484, 523, 585?

Answer: LCM of 714, 908, 484, 523, 585 is 4000145008860.

2. How to calculate the LCM of 714, 908, 484, 523, 585?

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 714, 908, 484, 523, 585.

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}.