Given numbers are 725,874,480,165,681

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

The LCM of 725,874,480,165,681 is 75946754400.

Find LCM of 725,874,480,165,681 with Prime Factorization

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

2 x 3 x 5 x 145 x 437 x 16 x 11 x 227 = 75946754400

Therefore, the lowest common multiple of 725,874,480,165,681 is 75946754400.

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 874 x 480 x 165 x 681 = 34176039480000

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

874 : 1, 2, 19, 23, 38, 46, 437, 874

480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

165 : 1, 3, 5, 11, 15, 33, 55, 165

681 : 1, 3, 227, 681

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 725,874,480,165,681, is 1.

Now, the common factors can be found like this.

725:5x 5x 29

874:2x 19x 23

480:2x 2x 2x 2x 2x 3x 5

165:3x 5x 11

681:3x 227

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 = 34176039480000/(1x450)

LCM = 34176039480000/450

LCM = 75946754400

Thus, we can understand that the LCM of 725,874,480,165,681 is 75946754400.

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

• LCM of 470, 701, 174, 392, 532
• LCM of 626, 651, 171, 760, 863
• LCM of 520, 766, 916, 478, 933
• LCM of 152, 543, 145, 999, 449
• LCM of 586, 601, 257, 982, 928

1. What is the LCM of 725, 874, 480, 165, 681?

Answer: LCM of 725, 874, 480, 165, 681 is 75946754400.

2. How to calculate the LCM of 725, 874, 480, 165, 681?

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, 874, 480, 165, 681.

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}.