Given numbers are 355,690,336,106,590

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

The LCM of 355,690,336,106,590 is 8578736880.

Find LCM of 355,690,336,106,590 with Prime Factorization

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

2 x 3 x 5 x 71 x 23 x 56 x 53 x 59 = 8578736880

Therefore, the lowest common multiple of 355,690,336,106,590 is 8578736880.

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.

355 x 690 x 336 x 106 x 590 = 5147242128000

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.

355 : 1, 5, 71, 355

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

106 : 1, 2, 53, 106

590 : 1, 2, 5, 10, 59, 118, 295, 590

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 355,690,336,106,590, is 1.

Now, the common factors can be found like this.

355:5x 71

690:2x 3x 5x 23

336:2x 2x 2x 2x 3x 7

106:2x 53

590:2x 5x 59

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 5x 5 = 600

Therefore, the value for common factors is 600.

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 = 5147242128000/(1x600)

LCM = 5147242128000/600

LCM = 8578736880

Thus, we can understand that the LCM of 355,690,336,106,590 is 8578736880.

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

• LCM of 231, 914, 879, 949, 974
• LCM of 859, 766, 686, 972, 651
• LCM of 791, 390, 741, 503, 633
• LCM of 901, 784, 387, 586, 534
• LCM of 382, 118, 225, 470, 156

1. What is the LCM of 355, 690, 336, 106, 590?

Answer: LCM of 355, 690, 336, 106, 590 is 8578736880.

2. How to calculate the LCM of 355, 690, 336, 106, 590?

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 355, 690, 336, 106, 590.

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}.