Given numbers are 242,473,320,585,582

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

The LCM of 242,473,320,585,582 is 18895631040.

Find LCM of 242,473,320,585,582 with Prime Factorization

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

2 x 3 x 5 x 11 x 11 x 43 x 32 x 39 x 97 = 18895631040

Therefore, the lowest common multiple of 242,473,320,585,582 is 18895631040.

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.

242 x 473 x 320 x 585 x 582 = 12471116486400

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.

242 : 1, 2, 11, 22, 121, 242

473 : 1, 11, 43, 473

320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

582 : 1, 2, 3, 6, 97, 194, 291, 582

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 242,473,320,585,582, is 1.

Now, the common factors can be found like this.

242:2x 11x 11

473:11x 43

320:2x 2x 2x 2x 2x 2x 5

585:3x 3x 5x 13

582:2x 3x 97

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 5x 11 = 660

Therefore, the value for common factors is 660.

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 = 12471116486400/(1x660)

LCM = 12471116486400/660

LCM = 18895631040

Thus, we can understand that the LCM of 242,473,320,585,582 is 18895631040.

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

• LCM of 904, 188, 847, 132, 602
• LCM of 452, 236, 988, 679, 734
• LCM of 365, 406, 981, 883, 631
• LCM of 714, 150, 904, 926, 992
• LCM of 829, 217, 153, 426, 804

1. What is the LCM of 242, 473, 320, 585, 582?

Answer: LCM of 242, 473, 320, 585, 582 is 18895631040.

2. How to calculate the LCM of 242, 473, 320, 585, 582?

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 242, 473, 320, 585, 582.

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}.