Given numbers are 418,407,990,402,858

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

The LCM of 418,407,990,402,858 is 606189870.

Find LCM of 418,407,990,402,858 with Prime Factorization

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

2 x 3 x 11 x 19 x 37 x 15 x 67 x 13 = 606189870

Therefore, the lowest common multiple of 418,407,990,402,858 is 606189870.

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.

418 x 407 x 990 x 402 x 858 = 58092387621840

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.

418 : 1, 2, 11, 19, 22, 38, 209, 418

407 : 1, 11, 37, 407

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

402 : 1, 2, 3, 6, 67, 134, 201, 402

858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 418,407,990,402,858, is 1.

Now, the common factors can be found like this.

418:2x 11x 19

407:11x 37

990:2x 3x 3x 5x 11

402:2x 3x 67

858:2x 3x 11x 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 3x 3x 11x 11x 11 = 95832

Therefore, the value for common factors is 95832.

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 = 58092387621840/(1x95832)

LCM = 58092387621840/95832

LCM = 606189870

Thus, we can understand that the LCM of 418,407,990,402,858 is 606189870.

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

• LCM of 808, 350, 647, 157, 909
• LCM of 614, 472, 660, 644, 857
• LCM of 132, 914, 391, 586, 943
• LCM of 498, 110, 362, 850, 807
• LCM of 954, 561, 708, 294, 871

1. What is the LCM of 418, 407, 990, 402, 858?

Answer: LCM of 418, 407, 990, 402, 858 is 606189870.

2. How to calculate the LCM of 418, 407, 990, 402, 858?

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 418, 407, 990, 402, 858.

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}.