Given numbers are 727,720,464,413

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

The LCM of 727,720,464,413 is 6269240880.

Find LCM of 727,720,464,413 with Prime Factorization

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

2 x 2 x 2 x 2 x 727 x 45 x 29 x 413 = 6269240880

Therefore, the lowest common multiple of 727,720,464,413 is 6269240880.

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.

727 x 720 x 464 x 413 = 100307854080

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.

727 : 1, 727

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

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

413 : 1, 7, 59, 413

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 727,720,464,413, is 1.

Now, the common factors can be found like this.

727:727

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

464:2x 2x 2x 2x 29

413:7x 59

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 2 = 16

Therefore, the value for common factors is 16.

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 = 100307854080/(1x16)

LCM = 100307854080/16

LCM = 6269240880

Thus, we can understand that the LCM of 727,720,464,413 is 6269240880.

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

• LCM of 767, 772, 638, 596
• LCM of 255, 302, 624, 962
• LCM of 772, 419, 273, 320
• LCM of 975, 724, 222, 403
• LCM of 507, 636, 695, 286

1. What is the LCM of 727, 720, 464, 413?

Answer: LCM of 727, 720, 464, 413 is 6269240880.

2. How to calculate the LCM of 727, 720, 464, 413?

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 727, 720, 464, 413.

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}.