Given numbers are 384,461,128,133

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

The LCM of 384,461,128,133 is 23544192.

Find LCM of 384,461,128,133 with Prime Factorization

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

2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 461 x 1 x 133 = 23544192

Therefore, the lowest common multiple of 384,461,128,133 is 23544192.

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.

384 x 461 x 128 x 133 = 3013656576

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.

384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

461 : 1, 461

128 : 1, 2, 4, 8, 16, 32, 64, 128

133 : 1, 7, 19, 133

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 384,461,128,133, is 1.

Now, the common factors can be found like this.

384:2x 2x 2x 2x 2x 2x 2x 3

461:461

128:2x 2x 2x 2x 2x 2x 2

133:7x 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 2x 2x 2x 2 = 128

Therefore, the value for common factors is 128.

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 = 3013656576/(1x128)

LCM = 3013656576/128

LCM = 23544192

Thus, we can understand that the LCM of 384,461,128,133 is 23544192.

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

• LCM of 319, 573, 837, 526
• LCM of 630, 297, 957, 274
• LCM of 123, 196, 594, 579
• LCM of 534, 754, 526, 242
• LCM of 715, 895, 628, 736

1. What is the LCM of 384, 461, 128, 133?

Answer: LCM of 384, 461, 128, 133 is 23544192.

2. How to calculate the LCM of 384, 461, 128, 133?

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 384, 461, 128, 133.

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}.