Given numbers are 725,258,403,216

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

The LCM of 725,258,403,216 is 2713721400.

Find LCM of 725,258,403,216 with Prime Factorization

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

2 x 3 x 725 x 43 x 403 x 36 = 2713721400

Therefore, the lowest common multiple of 725,258,403,216 is 2713721400.

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.

725 x 258 x 403 x 216 = 16282328400

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.

725 : 1, 5, 25, 29, 145, 725

258 : 1, 2, 3, 6, 43, 86, 129, 258

403 : 1, 13, 31, 403

216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 725,258,403,216, is 1.

Now, the common factors can be found like this.

725:5x 5x 29

258:2x 3x 43

403:13x 31

216:2x 2x 2x 3x 3x 3

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 16282328400/(1x6)

LCM = 16282328400/6

LCM = 2713721400

Thus, we can understand that the LCM of 725,258,403,216 is 2713721400.

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

• LCM of 697, 144, 714, 384
• LCM of 620, 642, 120, 915
• LCM of 479, 606, 614, 546
• LCM of 576, 482, 122, 278
• LCM of 954, 196, 605, 931

1. What is the LCM of 725, 258, 403, 216?

Answer: LCM of 725, 258, 403, 216 is 2713721400.

2. How to calculate the LCM of 725, 258, 403, 216?

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 725, 258, 403, 216.

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}.