Given numbers are 197,576,468,460

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

The LCM of 197,576,468,460 is 169640640.

Find LCM of 197,576,468,460 with Prime Factorization

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

2 x 2 x 3 x 3 x 197 x 16 x 13 x 115 = 169640640

Therefore, the lowest common multiple of 197,576,468,460 is 169640640.

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.

197 x 576 x 468 x 460 = 24428252160

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.

197 : 1, 197

576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 197,576,468,460, is 1.

Now, the common factors can be found like this.

197:197

576:2x 2x 2x 2x 2x 2x 3x 3

468:2x 2x 3x 3x 13

460:2x 2x 5x 23

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 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 24428252160/(1x144)

LCM = 24428252160/144

LCM = 169640640

Thus, we can understand that the LCM of 197,576,468,460 is 169640640.

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

• LCM of 736, 137, 716, 358
• LCM of 408, 943, 757, 839
• LCM of 448, 832, 613, 366
• LCM of 668, 510, 728, 216
• LCM of 637, 808, 903, 589

1. What is the LCM of 197, 576, 468, 460?

Answer: LCM of 197, 576, 468, 460 is 169640640.

2. How to calculate the LCM of 197, 576, 468, 460?

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 197, 576, 468, 460.

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}.