Given numbers are 461,135,172,644,608

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

The LCM of 461,135,172,644,608 is 261958566240.

Find LCM of 461,135,172,644,608 with Prime Factorization

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

2 x 2 x 461 x 135 x 43 x 161 x 152 = 261958566240

Therefore, the lowest common multiple of 461,135,172,644,608 is 261958566240.

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 135 x 172 x 644 x 608 = 4191337059840

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

135 : 1, 3, 5, 9, 15, 27, 45, 135

172 : 1, 2, 4, 43, 86, 172

644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 461,135,172,644,608, is 1.

Now, the common factors can be found like this.

461:461

135:3x 3x 3x 5

172:2x 2x 43

644:2x 2x 7x 23

608:2x 2x 2x 2x 2x 19

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 2 = 16

Therefore, the value for common factors is 16.

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 = 4191337059840/(1x16)

LCM = 4191337059840/16

LCM = 261958566240

Thus, we can understand that the LCM of 461,135,172,644,608 is 261958566240.

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

• LCM of 717, 981, 758, 478, 652
• LCM of 487, 397, 228, 995, 900
• LCM of 498, 594, 880, 660, 717
• LCM of 757, 979, 840, 200, 500
• LCM of 186, 519, 567, 974, 973

1. What is the LCM of 461, 135, 172, 644, 608?

Answer: LCM of 461, 135, 172, 644, 608 is 261958566240.

2. How to calculate the LCM of 461, 135, 172, 644, 608?

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, 135, 172, 644, 608.

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}.