Given numbers are 380,659,306,324,504

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

The LCM of 380,659,306,324,504 is 4827596760.

Find LCM of 380,659,306,324,504 with Prime Factorization

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

2 x 2 x 3 x 3 x 95 x 659 x 17 x 9 x 14 = 4827596760

Therefore, the lowest common multiple of 380,659,306,324,504 is 4827596760.

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.

380 x 659 x 306 x 324 x 504 = 12513130801920

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.

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

659 : 1, 659

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 380,659,306,324,504, is 1.

Now, the common factors can be found like this.

380:2x 2x 5x 19

659:659

306:2x 3x 3x 17

324:2x 2x 3x 3x 3x 3

504:2x 2x 2x 3x 3x 7

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 2x 2x 3x 3x 3x 3 = 2592

Therefore, the value for common factors is 2592.

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 = 12513130801920/(1x2592)

LCM = 12513130801920/2592

LCM = 4827596760

Thus, we can understand that the LCM of 380,659,306,324,504 is 4827596760.

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

• LCM of 276, 910, 750, 614, 281
• LCM of 515, 459, 963, 312, 148
• LCM of 350, 695, 416, 499, 337
• LCM of 128, 210, 437, 933, 781
• LCM of 612, 938, 935, 897, 506

1. What is the LCM of 380, 659, 306, 324, 504?

Answer: LCM of 380, 659, 306, 324, 504 is 4827596760.

2. How to calculate the LCM of 380, 659, 306, 324, 504?

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 380, 659, 306, 324, 504.

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}.