Given numbers are 610,409,338,408

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

The LCM of 610,409,338,408 is 8601417240.

Find LCM of 610,409,338,408 with Prime Factorization

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

2 x 305 x 409 x 169 x 204 = 8601417240

Therefore, the lowest common multiple of 610,409,338,408 is 8601417240.

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.

610 x 409 x 338 x 408 = 34405668960

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.

610 : 1, 2, 5, 10, 61, 122, 305, 610

409 : 1, 409

338 : 1, 2, 13, 26, 169, 338

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 610,409,338,408, is 1.

Now, the common factors can be found like this.

610:2x 5x 61

409:409

338:2x 13x 13

408:2x 2x 2x 3x 17

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 34405668960/(1x4)

LCM = 34405668960/4

LCM = 8601417240

Thus, we can understand that the LCM of 610,409,338,408 is 8601417240.

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

• LCM of 583, 136, 341, 315
• LCM of 625, 322, 104, 934
• LCM of 515, 390, 455, 410
• LCM of 110, 341, 428, 101
• LCM of 889, 116, 904, 672

1. What is the LCM of 610, 409, 338, 408?

Answer: LCM of 610, 409, 338, 408 is 8601417240.

2. How to calculate the LCM of 610, 409, 338, 408?

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 610, 409, 338, 408.

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}.