Given numbers are 225,579,840,221,730

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

The LCM of 225,579,840,221,730 is 39232229400.

Find LCM of 225,579,840,221,730 with Prime Factorization

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

2 x 3 x 5 x 15 x 193 x 28 x 221 x 73 = 39232229400

Therefore, the lowest common multiple of 225,579,840,221,730 is 39232229400.

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.

225 x 579 x 840 x 221 x 730 = 17654503230000

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.

225 : 1, 3, 5, 9, 15, 25, 45, 75, 225

579 : 1, 3, 193, 579

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

221 : 1, 13, 17, 221

730 : 1, 2, 5, 10, 73, 146, 365, 730

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 225,579,840,221,730, is 1.

Now, the common factors can be found like this.

225:3x 3x 5x 5

579:3x 193

840:2x 2x 2x 3x 5x 7

221:13x 17

730:2x 5x 73

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3x 5x 5 = 450

Therefore, the value for common factors is 450.

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 = 17654503230000/(1x450)

LCM = 17654503230000/450

LCM = 39232229400

Thus, we can understand that the LCM of 225,579,840,221,730 is 39232229400.

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

• LCM of 780, 931, 730, 862, 837
• LCM of 393, 721, 574, 399, 260
• LCM of 370, 688, 131, 561, 458
• LCM of 736, 691, 979, 290, 995
• LCM of 522, 523, 706, 838, 781

1. What is the LCM of 225, 579, 840, 221, 730?

Answer: LCM of 225, 579, 840, 221, 730 is 39232229400.

2. How to calculate the LCM of 225, 579, 840, 221, 730?

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 225, 579, 840, 221, 730.

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}.