Given numbers are 825,520,539,583,705

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

The LCM of 825,520,539,583,705 is 10472662200.

Find LCM of 825,520,539,583,705 with Prime Factorization

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

3 x 5 x 11 x 5 x 104 x 49 x 53 x 47 = 10472662200

Therefore, the lowest common multiple of 825,520,539,583,705 is 10472662200.

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.

825 x 520 x 539 x 583 x 705 = 95039409465000

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.

825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

539 : 1, 7, 11, 49, 77, 539

583 : 1, 11, 53, 583

705 : 1, 3, 5, 15, 47, 141, 235, 705

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 825,520,539,583,705, is 1.

Now, the common factors can be found like this.

825:3x 5x 5x 11

520:2x 2x 2x 5x 13

539:7x 7x 11

583:11x 53

705:3x 5x 47

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

3x 5x 5x 11x 11 = 9075

Therefore, the value for common factors is 9075.

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 = 95039409465000/(1x9075)

LCM = 95039409465000/9075

LCM = 10472662200

Thus, we can understand that the LCM of 825,520,539,583,705 is 10472662200.

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

• LCM of 130, 301, 203, 587, 570
• LCM of 156, 315, 529, 593, 205
• LCM of 960, 610, 806, 214, 828
• LCM of 896, 468, 155, 735, 214
• LCM of 884, 903, 264, 799, 853

1. What is the LCM of 825, 520, 539, 583, 705?

Answer: LCM of 825, 520, 539, 583, 705 is 10472662200.

2. How to calculate the LCM of 825, 520, 539, 583, 705?

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 825, 520, 539, 583, 705.

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}.