Given numbers are 550,688,201,128,288

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

The LCM of 550,688,201,128,288 is 912700800.

Find LCM of 550,688,201,128,288 with Prime Factorization

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

2 x 2 x 2 x 2 x 2 x 3 x 275 x 43 x 67 x 4 x 3 = 912700800

Therefore, the lowest common multiple of 550,688,201,128,288 is 912700800.

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.

550 x 688 x 201 x 128 x 288 = 2803816857600

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.

550 : 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688

201 : 1, 3, 67, 201

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

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 550,688,201,128,288, is 1.

Now, the common factors can be found like this.

550:2x 5x 5x 11

688:2x 2x 2x 2x 43

201:3x 67

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

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

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 2x 2x 3 = 3072

Therefore, the value for common factors is 3072.

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 = 2803816857600/(1x3072)

LCM = 2803816857600/3072

LCM = 912700800

Thus, we can understand that the LCM of 550,688,201,128,288 is 912700800.

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

• LCM of 464, 441, 380, 244, 354
• LCM of 294, 330, 669, 542, 964
• LCM of 979, 144, 165, 636, 510
• LCM of 892, 394, 771, 274, 990
• LCM of 656, 871, 437, 784, 298

1. What is the LCM of 550, 688, 201, 128, 288?

Answer: LCM of 550, 688, 201, 128, 288 is 912700800.

2. How to calculate the LCM of 550, 688, 201, 128, 288?

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 550, 688, 201, 128, 288.

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}.