Given numbers are 260,514,578,725

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

The LCM of 260,514,578,725 is 2800092100.

Find LCM of 260,514,578,725 with Prime Factorization

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

2 x 5 x 26 x 257 x 289 x 145 = 2800092100

Therefore, the lowest common multiple of 260,514,578,725 is 2800092100.

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.

260 x 514 x 578 x 725 = 56001842000

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.

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

514 : 1, 2, 257, 514

578 : 1, 2, 17, 34, 289, 578

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 260,514,578,725, is 1.

Now, the common factors can be found like this.

260:2x 2x 5x 13

514:2x 257

578:2x 17x 17

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 5 = 20

Therefore, the value for common factors is 20.

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 = 56001842000/(1x20)

LCM = 56001842000/20

LCM = 2800092100

Thus, we can understand that the LCM of 260,514,578,725 is 2800092100.

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

• LCM of 692, 519, 692, 410
• LCM of 786, 328, 694, 900
• LCM of 845, 829, 306, 174
• LCM of 956, 160, 142, 442
• LCM of 671, 127, 781, 287

1. What is the LCM of 260, 514, 578, 725?

Answer: LCM of 260, 514, 578, 725 is 2800092100.

2. How to calculate the LCM of 260, 514, 578, 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 260, 514, 578, 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}.