Given numbers are 720,582,714,573,459

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

The LCM of 720,582,714,573,459 is 4762180080.

Find LCM of 720,582,714,573,459 with Prime Factorization

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

2 x 3 x 3 x 17 x 40 x 97 x 7 x 191 x 3 = 4762180080

Therefore, the lowest common multiple of 720,582,714,573,459 is 4762180080.

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.

720 x 582 x 714 x 573 x 459 = 78690263641920

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.

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

582 : 1, 2, 3, 6, 97, 194, 291, 582

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

573 : 1, 3, 191, 573

459 : 1, 3, 9, 17, 27, 51, 153, 459

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 720,582,714,573,459, is 3.

Now, the common factors can be found like this.

720:2x 2x 2x 2x 3x 3x 5

582:2x 3x 97

714:2x 3x 7x 17

573:3x 191

459:3x 3x 3x 17

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 3x 3x 3x 3x 17 = 5508

Therefore, the value for common factors is 5508.

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 = 78690263641920/(3x5508)

LCM = 78690263641920/16524

LCM = 4762180080

Thus, we can understand that the LCM of 720,582,714,573,459 is 4762180080.

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

• LCM of 429, 961, 600, 110, 383
• LCM of 532, 726, 580, 870, 570
• LCM of 981, 766, 984, 874, 269
• LCM of 907, 108, 840, 477, 895
• LCM of 319, 855, 213, 298, 741

1. What is the LCM of 720, 582, 714, 573, 459?

Answer: LCM of 720, 582, 714, 573, 459 is 4762180080.

2. How to calculate the LCM of 720, 582, 714, 573, 459?

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 720, 582, 714, 573, 459.

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}.