Given numbers are 576,192,402,261

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

The LCM of 576,192,402,261 is 1119168.

Find LCM of 576,192,402,261 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 3 x 3 x 1 x 1 x 67 x 29 = 1119168

Therefore, the lowest common multiple of 576,192,402,261 is 1119168.

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.

576 x 192 x 402 x 261 = 11603533824

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.

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

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

402 : 1, 2, 3, 6, 67, 134, 201, 402

261 : 1, 3, 9, 29, 87, 261

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 576,192,402,261, is 3.

Now, the common factors can be found like this.

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

192:2x 2x 2x 2x 2x 2x 3

402:2x 3x 67

261:3x 3x 29

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 3x 3 = 3456

Therefore, the value for common factors is 3456.

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 = 11603533824/(3x3456)

LCM = 11603533824/10368

LCM = 1119168

Thus, we can understand that the LCM of 576,192,402,261 is 1119168.

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

• LCM of 280, 434, 645, 221
• LCM of 777, 961, 436, 816
• LCM of 755, 890, 880, 872
• LCM of 288, 533, 589, 658
• LCM of 791, 871, 464, 385

1. What is the LCM of 576, 192, 402, 261?

Answer: LCM of 576, 192, 402, 261 is 1119168.

2. How to calculate the LCM of 576, 192, 402, 261?

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 576, 192, 402, 261.

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}.