Given numbers are 426,330,879,688,558

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

The LCM of 426,330,879,688,558 is 219624760080.

Find LCM of 426,330,879,688,558 with Prime Factorization

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

2 x 3 x 71 x 55 x 293 x 344 x 93 = 219624760080

Therefore, the lowest common multiple of 426,330,879,688,558 is 219624760080.

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.

426 x 330 x 879 x 688 x 558 = 47438948177280

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.

426 : 1, 2, 3, 6, 71, 142, 213, 426

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

879 : 1, 3, 293, 879

688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688

558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 426,330,879,688,558, is 1.

Now, the common factors can be found like this.

426:2x 3x 71

330:2x 3x 5x 11

879:3x 293

688:2x 2x 2x 2x 43

558:2x 3x 3x 31

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 3x 3 = 216

Therefore, the value for common factors is 216.

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 = 47438948177280/(1x216)

LCM = 47438948177280/216

LCM = 219624760080

Thus, we can understand that the LCM of 426,330,879,688,558 is 219624760080.

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

• LCM of 793, 344, 133, 959, 630
• LCM of 312, 326, 440, 771, 632
• LCM of 542, 920, 243, 819, 404
• LCM of 775, 349, 626, 925, 682
• LCM of 815, 572, 113, 749, 130

1. What is the LCM of 426, 330, 879, 688, 558?

Answer: LCM of 426, 330, 879, 688, 558 is 219624760080.

2. How to calculate the LCM of 426, 330, 879, 688, 558?

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 426, 330, 879, 688, 558.

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}.