Given numbers are 188,351,192,960

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

The LCM of 188,351,192,960 is 5279040.

Find LCM of 188,351,192,960 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 47 x 117 x 1 x 5 = 5279040

Therefore, the lowest common multiple of 188,351,192,960 is 5279040.

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.

188 x 351 x 192 x 960 = 12162908160

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.

188 : 1, 2, 4, 47, 94, 188

351 : 1, 3, 9, 13, 27, 39, 117, 351

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

960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 188,351,192,960, is 1.

Now, the common factors can be found like this.

188:2x 2x 47

351:3x 3x 3x 13

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

960:2x 2x 2x 2x 2x 2x 3x 5

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 2x 3x 3 = 2304

Therefore, the value for common factors is 2304.

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 = 12162908160/(1x2304)

LCM = 12162908160/2304

LCM = 5279040

Thus, we can understand that the LCM of 188,351,192,960 is 5279040.

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

• LCM of 764, 213, 828, 696
• LCM of 376, 972, 252, 823
• LCM of 262, 271, 141, 148
• LCM of 192, 293, 321, 320
• LCM of 387, 735, 178, 309

1. What is the LCM of 188, 351, 192, 960?

Answer: LCM of 188, 351, 192, 960 is 5279040.

2. How to calculate the LCM of 188, 351, 192, 960?

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 188, 351, 192, 960.

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}.