Given numbers are 407,408,528,818

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

The LCM of 407,408,528,818 is 135833808.

Find LCM of 407,408,528,818 with Prime Factorization

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

2 x 2 x 2 x 3 x 11 x 37 x 17 x 2 x 409 = 135833808

Therefore, the lowest common multiple of 407,408,528,818 is 135833808.

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.

407 x 408 x 528 x 818 = 71720250624

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.

407 : 1, 11, 37, 407

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

818 : 1, 2, 409, 818

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 407,408,528,818, is 1.

Now, the common factors can be found like this.

407:11x 37

408:2x 2x 2x 3x 17

528:2x 2x 2x 2x 3x 11

818:2x 409

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 11 = 528

Therefore, the value for common factors is 528.

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 = 71720250624/(1x528)

LCM = 71720250624/528

LCM = 135833808

Thus, we can understand that the LCM of 407,408,528,818 is 135833808.

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

• LCM of 355, 415, 868, 263
• LCM of 185, 127, 458, 786
• LCM of 204, 544, 551, 743
• LCM of 384, 667, 229, 520
• LCM of 764, 559, 503, 802

1. What is the LCM of 407, 408, 528, 818?

Answer: LCM of 407, 408, 528, 818 is 135833808.

2. How to calculate the LCM of 407, 408, 528, 818?

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 407, 408, 528, 818.

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}.