Given numbers are 990,680,821,742,579

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

The LCM of 990,680,821,742,579 is 3957477761160.

Find LCM of 990,680,821,742,579 with Prime Factorization

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

2 x 3 x 5 x 33 x 68 x 821 x 371 x 193 = 3957477761160

Therefore, the lowest common multiple of 990,680,821,742,579 is 3957477761160.

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.

990 x 680 x 821 x 742 x 579 = 237448665669600

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.

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

680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

821 : 1, 821

742 : 1, 2, 7, 14, 53, 106, 371, 742

579 : 1, 3, 193, 579

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 990,680,821,742,579, is 1.

Now, the common factors can be found like this.

990:2x 3x 3x 5x 11

680:2x 2x 2x 5x 17

821:821

742:2x 7x 53

579:3x 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 5 = 60

Therefore, the value for common factors is 60.

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 = 237448665669600/(1x60)

LCM = 237448665669600/60

LCM = 3957477761160

Thus, we can understand that the LCM of 990,680,821,742,579 is 3957477761160.

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

• LCM of 128, 592, 277, 839, 334
• LCM of 317, 836, 481, 344, 169
• LCM of 234, 272, 968, 275, 831
• LCM of 947, 525, 986, 671, 172
• LCM of 406, 635, 585, 884, 700

1. What is the LCM of 990, 680, 821, 742, 579?

Answer: LCM of 990, 680, 821, 742, 579 is 3957477761160.

2. How to calculate the LCM of 990, 680, 821, 742, 579?

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 990, 680, 821, 742, 579.

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}.