Given numbers are 458,624,867,725,966

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

The LCM of 458,624,867,725,966 is 4820385788400.

Find LCM of 458,624,867,725,966 with Prime Factorization

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

2 x 3 x 229 x 104 x 289 x 725 x 161 = 4820385788400

Therefore, the lowest common multiple of 458,624,867,725,966 is 4820385788400.

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.

458 x 624 x 867 x 725 x 966 = 173533888382400

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.

458 : 1, 2, 229, 458

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

867 : 1, 3, 17, 51, 289, 867

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

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 458,624,867,725,966, is 1.

Now, the common factors can be found like this.

458:2x 229

624:2x 2x 2x 2x 3x 13

867:3x 17x 17

725:5x 5x 29

966:2x 3x 7x 23

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 3 = 36

Therefore, the value for common factors is 36.

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 = 173533888382400/(1x36)

LCM = 173533888382400/36

LCM = 4820385788400

Thus, we can understand that the LCM of 458,624,867,725,966 is 4820385788400.

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

• LCM of 529, 895, 200, 118, 809
• LCM of 814, 791, 966, 597, 635
• LCM of 819, 249, 611, 874, 101
• LCM of 582, 853, 680, 202, 180
• LCM of 668, 608, 524, 250, 281

1. What is the LCM of 458, 624, 867, 725, 966?

Answer: LCM of 458, 624, 867, 725, 966 is 4820385788400.

2. How to calculate the LCM of 458, 624, 867, 725, 966?

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 458, 624, 867, 725, 966.

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}.