Given numbers are 888,788,624,728

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

The LCM of 888,788,624,728 is 31838352.

Find LCM of 888,788,624,728 with Prime Factorization

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

2 x 2 x 2 x 3 x 13 x 37 x 197 x 2 x 7 = 31838352

Therefore, the lowest common multiple of 888,788,624,728 is 31838352.

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.

888 x 788 x 624 x 728 = 317874106368

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.

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

788 : 1, 2, 4, 197, 394, 788

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 888,788,624,728, is 4.

Now, the common factors can be found like this.

888:2x 2x 2x 3x 37

788:2x 2x 197

624:2x 2x 2x 2x 3x 13

728:2x 2x 2x 7x 13

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 3x 13 = 2496

Therefore, the value for common factors is 2496.

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 = 317874106368/(4x2496)

LCM = 317874106368/9984

LCM = 31838352

Thus, we can understand that the LCM of 888,788,624,728 is 31838352.

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

• LCM of 690, 857, 235, 934
• LCM of 706, 250, 236, 688
• LCM of 375, 904, 847, 158
• LCM of 643, 184, 638, 235
• LCM of 903, 419, 533, 953

1. What is the LCM of 888, 788, 624, 728?

Answer: LCM of 888, 788, 624, 728 is 31838352.

2. How to calculate the LCM of 888, 788, 624, 728?

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 888, 788, 624, 728.

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}.