Given numbers are 467,408,258,872,720

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

The LCM of 467,408,258,872,720 is 26791266960.

Find LCM of 467,408,258,872,720 with Prime Factorization

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

2 x 2 x 2 x 3 x 467 x 17 x 43 x 109 x 30 = 26791266960

Therefore, the lowest common multiple of 467,408,258,872,720 is 26791266960.

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.

467 x 408 x 258 x 872 x 720 = 30863539537920

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.

467 : 1, 467

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

258 : 1, 2, 3, 6, 43, 86, 129, 258

872 : 1, 2, 4, 8, 109, 218, 436, 872

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 467,408,258,872,720, is 1.

Now, the common factors can be found like this.

467:467

408:2x 2x 2x 3x 17

258:2x 3x 43

872:2x 2x 2x 109

720:2x 2x 2x 2x 3x 3x 5

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 2x 2x 2x 3x 3 = 1152

Therefore, the value for common factors is 1152.

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 = 30863539537920/(1x1152)

LCM = 30863539537920/1152

LCM = 26791266960

Thus, we can understand that the LCM of 467,408,258,872,720 is 26791266960.

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

• LCM of 380, 512, 526, 308, 121
• LCM of 449, 308, 281, 253, 269
• LCM of 973, 923, 818, 676, 459
• LCM of 312, 249, 568, 392, 682
• LCM of 494, 546, 535, 354, 224

1. What is the LCM of 467, 408, 258, 872, 720?

Answer: LCM of 467, 408, 258, 872, 720 is 26791266960.

2. How to calculate the LCM of 467, 408, 258, 872, 720?

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 467, 408, 258, 872, 720.

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}.