Given numbers are 461,305,408,489

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

The LCM of 461,305,408,489 is 9350794920.

Find LCM of 461,305,408,489 with Prime Factorization

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

3 x 461 x 305 x 136 x 163 = 9350794920

Therefore, the lowest common multiple of 461,305,408,489 is 9350794920.

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.

461 x 305 x 408 x 489 = 28052384760

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.

461 : 1, 461

305 : 1, 5, 61, 305

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

489 : 1, 3, 163, 489

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 461,305,408,489, is 1.

Now, the common factors can be found like this.

461:461

305:5x 61

408:2x 2x 2x 3x 17

489:3x 163

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

3 = 3

Therefore, the value for common factors is 3.

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 = 28052384760/(1x3)

LCM = 28052384760/3

LCM = 9350794920

Thus, we can understand that the LCM of 461,305,408,489 is 9350794920.

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

• LCM of 352, 537, 120, 722
• LCM of 335, 937, 883, 631
• LCM of 273, 900, 170, 794
• LCM of 842, 594, 644, 140
• LCM of 365, 597, 551, 588

1. What is the LCM of 461, 305, 408, 489?

Answer: LCM of 461, 305, 408, 489 is 9350794920.

2. How to calculate the LCM of 461, 305, 408, 489?

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 461, 305, 408, 489.

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}.