Given numbers are 542,819,330,642,596

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

The LCM of 542,819,330,642,596 is 778477239540.

Find LCM of 542,819,330,642,596 with Prime Factorization

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

2 x 3 x 271 x 273 x 55 x 107 x 298 = 778477239540

Therefore, the lowest common multiple of 542,819,330,642,596 is 778477239540.

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.

542 x 819 x 330 x 642 x 596 = 56050361246880

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.

542 : 1, 2, 271, 542

819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

642 : 1, 2, 3, 6, 107, 214, 321, 642

596 : 1, 2, 4, 149, 298, 596

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 542,819,330,642,596, is 1.

Now, the common factors can be found like this.

542:2x 271

819:3x 3x 7x 13

330:2x 3x 5x 11

642:2x 3x 107

596:2x 2x 149

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 3x 3 = 72

Therefore, the value for common factors is 72.

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 = 56050361246880/(1x72)

LCM = 56050361246880/72

LCM = 778477239540

Thus, we can understand that the LCM of 542,819,330,642,596 is 778477239540.

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

• LCM of 388, 861, 234, 109, 980
• LCM of 782, 289, 966, 923, 629
• LCM of 944, 252, 699, 767, 446
• LCM of 266, 156, 390, 129, 464
• LCM of 810, 932, 389, 259, 830

1. What is the LCM of 542, 819, 330, 642, 596?

Answer: LCM of 542, 819, 330, 642, 596 is 778477239540.

2. How to calculate the LCM of 542, 819, 330, 642, 596?

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 542, 819, 330, 642, 596.

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}.