Given numbers are 725,273,440,314

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

The LCM of 725,273,440,314 is 2734531800.

Find LCM of 725,273,440,314 with Prime Factorization

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

2 x 5 x 145 x 273 x 44 x 157 = 2734531800

Therefore, the lowest common multiple of 725,273,440,314 is 2734531800.

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 273 x 440 x 314 = 27345318000

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

273 : 1, 3, 7, 13, 21, 39, 91, 273

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

314 : 1, 2, 157, 314

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 725,273,440,314, is 1.

Now, the common factors can be found like this.

725:5x 5x 29

273:3x 7x 13

440:2x 2x 2x 5x 11

314:2x 157

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 27345318000/(1x10)

LCM = 27345318000/10

LCM = 2734531800

Thus, we can understand that the LCM of 725,273,440,314 is 2734531800.

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

• LCM of 159, 966, 573, 557
• LCM of 872, 378, 597, 333
• LCM of 646, 969, 935, 113
• LCM of 123, 609, 409, 646
• LCM of 447, 353, 378, 477

1. What is the LCM of 725, 273, 440, 314?

Answer: LCM of 725, 273, 440, 314 is 2734531800.

2. How to calculate the LCM of 725, 273, 440, 314?

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, 273, 440, 314.

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}.