Given numbers are 484,652,772,723,600

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

The LCM of 484,652,772,723,600 is 550425539400.

Find LCM of 484,652,772,723,600 with Prime Factorization

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

2 x 2 x 3 x 121 x 163 x 193 x 241 x 50 = 550425539400

Therefore, the lowest common multiple of 484,652,772,723,600 is 550425539400.

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.

484 x 652 x 772 x 723 x 600 = 105681703564800

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.

484 : 1, 2, 4, 11, 22, 44, 121, 242, 484

652 : 1, 2, 4, 163, 326, 652

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

723 : 1, 3, 241, 723

600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 484,652,772,723,600, is 1.

Now, the common factors can be found like this.

484:2x 2x 11x 11

652:2x 2x 163

772:2x 2x 193

723:3x 241

600:2x 2x 2x 3x 5x 5

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 2x 3 = 192

Therefore, the value for common factors is 192.

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 = 105681703564800/(1x192)

LCM = 105681703564800/192

LCM = 550425539400

Thus, we can understand that the LCM of 484,652,772,723,600 is 550425539400.

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

• LCM of 966, 618, 118, 271, 504
• LCM of 804, 258, 469, 430, 677
• LCM of 498, 531, 463, 228, 882
• LCM of 660, 353, 884, 693, 296
• LCM of 439, 914, 750, 210, 909

1. What is the LCM of 484, 652, 772, 723, 600?

Answer: LCM of 484, 652, 772, 723, 600 is 550425539400.

2. How to calculate the LCM of 484, 652, 772, 723, 600?

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 484, 652, 772, 723, 600.

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}.