Given numbers are 392,642,758,879,468

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

The LCM of 392,642,758,879,468 is 544957378056.

Find LCM of 392,642,758,879,468 with Prime Factorization

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

2 x 2 x 3 x 98 x 107 x 379 x 293 x 39 = 544957378056

Therefore, the lowest common multiple of 392,642,758,879,468 is 544957378056.

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.

392 x 642 x 758 x 879 x 468 = 78473862440064

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.

392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

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

758 : 1, 2, 379, 758

879 : 1, 3, 293, 879

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 392,642,758,879,468, is 1.

Now, the common factors can be found like this.

392:2x 2x 2x 7x 7

642:2x 3x 107

758:2x 379

879:3x 293

468:2x 2x 3x 3x 13

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 3 = 144

Therefore, the value for common factors is 144.

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 = 78473862440064/(1x144)

LCM = 78473862440064/144

LCM = 544957378056

Thus, we can understand that the LCM of 392,642,758,879,468 is 544957378056.

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

• LCM of 763, 166, 923, 408, 338
• LCM of 643, 608, 269, 905, 712
• LCM of 869, 542, 474, 292, 180
• LCM of 604, 958, 250, 409, 934
• LCM of 672, 111, 871, 853, 124

1. What is the LCM of 392, 642, 758, 879, 468?

Answer: LCM of 392, 642, 758, 879, 468 is 544957378056.

2. How to calculate the LCM of 392, 642, 758, 879, 468?

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 392, 642, 758, 879, 468.

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}.