Given numbers are 720,419,374,249

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

The LCM of 720,419,374,249 is 4682375280.

Find LCM of 720,419,374,249 with Prime Factorization

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

2 x 3 x 120 x 419 x 187 x 83 = 4682375280

Therefore, the lowest common multiple of 720,419,374,249 is 4682375280.

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 419 x 374 x 249 = 28094251680

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

419 : 1, 419

374 : 1, 2, 11, 17, 22, 34, 187, 374

249 : 1, 3, 83, 249

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 720,419,374,249, is 1.

Now, the common factors can be found like this.

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

419:419

374:2x 11x 17

249:3x 83

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 28094251680/(1x6)

LCM = 28094251680/6

LCM = 4682375280

Thus, we can understand that the LCM of 720,419,374,249 is 4682375280.

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

• LCM of 319, 752, 784, 415
• LCM of 295, 954, 448, 212
• LCM of 179, 454, 722, 282
• LCM of 223, 858, 413, 963
• LCM of 518, 875, 489, 754

1. What is the LCM of 720, 419, 374, 249?

Answer: LCM of 720, 419, 374, 249 is 4682375280.

2. How to calculate the LCM of 720, 419, 374, 249?

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, 419, 374, 249.

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}.