Given numbers are 860,828,120,515,725

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

The LCM of 860,828,120,515,725 is 5317457400.

Find LCM of 860,828,120,515,725 with Prime Factorization

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

2 x 2 x 3 x 5 x 43 x 69 x 2 x 103 x 145 = 5317457400

Therefore, the lowest common multiple of 860,828,120,515,725 is 5317457400.

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.

860 x 828 x 120 x 515 x 725 = 31904744400000

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.

860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

515 : 1, 5, 103, 515

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 860,828,120,515,725, is 1.

Now, the common factors can be found like this.

860:2x 2x 5x 43

828:2x 2x 3x 3x 23

120:2x 2x 2x 3x 5

515:5x 103

725:5x 5x 29

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 2x 2x 3x 5x 5x 5 = 6000

Therefore, the value for common factors is 6000.

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 = 31904744400000/(1x6000)

LCM = 31904744400000/6000

LCM = 5317457400

Thus, we can understand that the LCM of 860,828,120,515,725 is 5317457400.

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

• LCM of 864, 926, 410, 742, 764
• LCM of 900, 996, 600, 980, 947
• LCM of 391, 801, 988, 940, 329
• LCM of 465, 317, 352, 445, 784
• LCM of 442, 202, 254, 231, 507

1. What is the LCM of 860, 828, 120, 515, 725?

Answer: LCM of 860, 828, 120, 515, 725 is 5317457400.

2. How to calculate the LCM of 860, 828, 120, 515, 725?

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 860, 828, 120, 515, 725.

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}.