Given numbers are 428,489,884,438,888

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

The LCM of 428,489,884,438,888 is 249861579864.

Find LCM of 428,489,884,438,888 with Prime Factorization

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

2 x 2 x 3 x 107 x 163 x 221 x 73 x 74 = 249861579864

Therefore, the lowest common multiple of 428,489,884,438,888 is 249861579864.

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.

428 x 489 x 884 x 438 x 888 = 71960135000832

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.

428 : 1, 2, 4, 107, 214, 428

489 : 1, 3, 163, 489

884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

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

888 : 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 428,489,884,438,888, is 1.

Now, the common factors can be found like this.

428:2x 2x 107

489:3x 163

884:2x 2x 13x 17

438:2x 3x 73

888:2x 2x 2x 3x 37

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 3x 3 = 288

Therefore, the value for common factors is 288.

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 = 71960135000832/(1x288)

LCM = 71960135000832/288

LCM = 249861579864

Thus, we can understand that the LCM of 428,489,884,438,888 is 249861579864.

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

• LCM of 473, 984, 938, 144, 146
• LCM of 130, 678, 180, 744, 101
• LCM of 142, 999, 368, 471, 656
• LCM of 185, 298, 184, 112, 232
• LCM of 388, 264, 117, 709, 236

1. What is the LCM of 428, 489, 884, 438, 888?

Answer: LCM of 428, 489, 884, 438, 888 is 249861579864.

2. How to calculate the LCM of 428, 489, 884, 438, 888?

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 428, 489, 884, 438, 888.

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}.