Given numbers are 390,525,734,345,772

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

The LCM of 390,525,734,345,772 is 44474784900.

Find LCM of 390,525,734,345,772 with Prime Factorization

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

2 x 3 x 5 x 13 x 35 x 367 x 23 x 386 = 44474784900

Therefore, the lowest common multiple of 390,525,734,345,772 is 44474784900.

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.

390 x 525 x 734 x 345 x 772 = 40027306410000

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.

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

525 : 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

734 : 1, 2, 367, 734

345 : 1, 3, 5, 15, 23, 69, 115, 345

772 : 1, 2, 4, 193, 386, 772

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 390,525,734,345,772, is 1.

Now, the common factors can be found like this.

390:2x 3x 5x 13

525:3x 5x 5x 7

734:2x 367

345:3x 5x 23

772:2x 2x 193

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 3x 3x 5x 5 = 900

Therefore, the value for common factors is 900.

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 = 40027306410000/(1x900)

LCM = 40027306410000/900

LCM = 44474784900

Thus, we can understand that the LCM of 390,525,734,345,772 is 44474784900.

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

• LCM of 336, 706, 165, 491, 160
• LCM of 740, 753, 539, 115, 810
• LCM of 802, 833, 555, 549, 578
• LCM of 253, 554, 215, 898, 821
• LCM of 428, 223, 883, 119, 800

1. What is the LCM of 390, 525, 734, 345, 772?

Answer: LCM of 390, 525, 734, 345, 772 is 44474784900.

2. How to calculate the LCM of 390, 525, 734, 345, 772?

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 390, 525, 734, 345, 772.

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}.