Given numbers are 288,133,235,438

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

The LCM of 288,133,235,438 is 657105120.

Find LCM of 288,133,235,438 with Prime Factorization

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

2 x 3 x 48 x 133 x 235 x 73 = 657105120

Therefore, the lowest common multiple of 288,133,235,438 is 657105120.

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.

288 x 133 x 235 x 438 = 3942630720

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.

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

133 : 1, 7, 19, 133

235 : 1, 5, 47, 235

438 : 1, 2, 3, 6, 73, 146, 219, 438

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 288,133,235,438, is 1.

Now, the common factors can be found like this.

288:2x 2x 2x 2x 2x 3x 3

133:7x 19

235:5x 47

438:2x 3x 73

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 3942630720/(1x6)

LCM = 3942630720/6

LCM = 657105120

Thus, we can understand that the LCM of 288,133,235,438 is 657105120.

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

• LCM of 226, 995, 112, 501
• LCM of 268, 638, 792, 329
• LCM of 678, 597, 691, 839
• LCM of 818, 862, 623, 967
• LCM of 460, 494, 629, 106

1. What is the LCM of 288, 133, 235, 438?

Answer: LCM of 288, 133, 235, 438 is 657105120.

2. How to calculate the LCM of 288, 133, 235, 438?

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 288, 133, 235, 438.

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}.