Given numbers are 273,232,460,466

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

The LCM of 273,232,460,466 is 1697088120.

Find LCM of 273,232,460,466 with Prime Factorization

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

2 x 2 x 273 x 58 x 115 x 233 = 1697088120

Therefore, the lowest common multiple of 273,232,460,466 is 1697088120.

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.

273 x 232 x 460 x 466 = 13576704960

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.

273 : 1, 3, 7, 13, 21, 39, 91, 273

232 : 1, 2, 4, 8, 29, 58, 116, 232

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

466 : 1, 2, 233, 466

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 273,232,460,466, is 1.

Now, the common factors can be found like this.

273:3x 7x 13

232:2x 2x 2x 29

460:2x 2x 5x 23

466:2x 233

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 2 = 8

Therefore, the value for common factors is 8.

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 = 13576704960/(1x8)

LCM = 13576704960/8

LCM = 1697088120

Thus, we can understand that the LCM of 273,232,460,466 is 1697088120.

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

• LCM of 529, 205, 220, 447
• LCM of 858, 578, 179, 925
• LCM of 616, 655, 195, 780
• LCM of 391, 664, 483, 485
• LCM of 395, 624, 615, 439

1. What is the LCM of 273, 232, 460, 466?

Answer: LCM of 273, 232, 460, 466 is 1697088120.

2. How to calculate the LCM of 273, 232, 460, 466?

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 273, 232, 460, 466.

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}.