Given numbers are 720,259,406,380

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

The LCM of 720,259,406,380 is 102750480.

Find LCM of 720,259,406,380 with Prime Factorization

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

2 x 2 x 5 x 7 x 36 x 37 x 29 x 19 = 102750480

Therefore, the lowest common multiple of 720,259,406,380 is 102750480.

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.

720 x 259 x 406 x 380 = 28770134400

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.

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

259 : 1, 7, 37, 259

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

380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 720,259,406,380, is 1.

Now, the common factors can be found like this.

720:2x 2x 2x 2x 3x 3x 5

259:7x 37

406:2x 7x 29

380:2x 2x 5x 19

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 7 = 280

Therefore, the value for common factors is 280.

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 = 28770134400/(1x280)

LCM = 28770134400/280

LCM = 102750480

Thus, we can understand that the LCM of 720,259,406,380 is 102750480.

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

• LCM of 527, 371, 653, 237
• LCM of 265, 875, 794, 968
• LCM of 933, 142, 323, 814
• LCM of 245, 838, 880, 257
• LCM of 383, 300, 795, 605

1. What is the LCM of 720, 259, 406, 380?

Answer: LCM of 720, 259, 406, 380 is 102750480.

2. How to calculate the LCM of 720, 259, 406, 380?

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 720, 259, 406, 380.

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}.