Given numbers are 725,946,260,770,406

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

The LCM of 725,946,260,770,406 is 124824700.

Find LCM of 725,946,260,770,406 with Prime Factorization

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

2 x 5 x 7 x 11 x 29 x 5 x 43 x 26 x 1 x 1 = 124824700

Therefore, the lowest common multiple of 725,946,260,770,406 is 124824700.

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 946 x 260 x 770 x 406 = 55746711020000

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

946 : 1, 2, 11, 22, 43, 86, 473, 946

260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

406 : 1, 2, 7, 14, 29, 58, 203, 406

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 725,946,260,770,406, is 1.

Now, the common factors can be found like this.

725:5x 5x 29

946:2x 11x 43

260:2x 2x 5x 13

770:2x 5x 7x 11

406:2x 7x 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 5x 5x 7x 11x 29 = 446600

Therefore, the value for common factors is 446600.

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 = 55746711020000/(1x446600)

LCM = 55746711020000/446600

LCM = 124824700

Thus, we can understand that the LCM of 725,946,260,770,406 is 124824700.

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

• LCM of 769, 317, 346, 860, 784
• LCM of 338, 837, 322, 925, 485
• LCM of 662, 613, 952, 522, 195
• LCM of 828, 944, 274, 733, 172
• LCM of 367, 480, 286, 121, 543

1. What is the LCM of 725, 946, 260, 770, 406?

Answer: LCM of 725, 946, 260, 770, 406 is 124824700.

2. How to calculate the LCM of 725, 946, 260, 770, 406?

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, 946, 260, 770, 406.

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}.