Given numbers are 484,756,528,990

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

The LCM of 484,756,528,990 is 1829520.

Find LCM of 484,756,528,990 with Prime Factorization

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

2 x 2 x 3 x 3 x 11 x 11 x 21 x 4 x 5 = 1829520

Therefore, the lowest common multiple of 484,756,528,990 is 1829520.

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 756 x 528 x 990 = 191265338880

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

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 484,756,528,990, is 2.

Now, the common factors can be found like this.

484:2x 2x 11x 11

756:2x 2x 3x 3x 3x 7

528:2x 2x 2x 2x 3x 11

990:2x 3x 3x 5x 11

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 3x 3x 3x 11x 11 = 52272

Therefore, the value for common factors is 52272.

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 = 191265338880/(2x52272)

LCM = 191265338880/104544

LCM = 1829520

Thus, we can understand that the LCM of 484,756,528,990 is 1829520.

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

• LCM of 675, 297, 732, 334
• LCM of 409, 765, 340, 674
• LCM of 356, 807, 333, 917
• LCM of 574, 348, 814, 973
• LCM of 643, 323, 760, 363

1. What is the LCM of 484, 756, 528, 990?

Answer: LCM of 484, 756, 528, 990 is 1829520.

2. How to calculate the LCM of 484, 756, 528, 990?

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, 756, 528, 990.

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}.