Given numbers are 576,192,566,942

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

The LCM of 576,192,566,942 is 25592256.

Find LCM of 576,192,566,942 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 1 x 3 x 283 x 157 = 25592256

Therefore, the lowest common multiple of 576,192,566,942 is 25592256.

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 566 x 942 = 58964557824

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

566 : 1, 2, 283, 566

942 : 1, 2, 3, 6, 157, 314, 471, 942

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 576,192,566,942, is 2.

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

566:2x 283

942:2x 3x 157

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 = 58964557824/(2x1152)

LCM = 58964557824/2304

LCM = 25592256

Thus, we can understand that the LCM of 576,192,566,942 is 25592256.

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

• LCM of 713, 763, 488, 205
• LCM of 988, 382, 703, 446
• LCM of 294, 978, 727, 302
• LCM of 207, 915, 165, 692
• LCM of 582, 889, 598, 712

1. What is the LCM of 576, 192, 566, 942?

Answer: LCM of 576, 192, 566, 942 is 25592256.

2. How to calculate the LCM of 576, 192, 566, 942?

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, 566, 942.

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}.