Given numbers are 488,624,234,894

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

The LCM of 488,624,234,894 is 17014608.

Find LCM of 488,624,234,894 with Prime Factorization

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

2 x 2 x 2 x 3 x 13 x 61 x 2 x 3 x 149 = 17014608

Therefore, the lowest common multiple of 488,624,234,894 is 17014608.

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.

488 x 624 x 234 x 894 = 63702692352

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.

488 : 1, 2, 4, 8, 61, 122, 244, 488

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

234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

894 : 1, 2, 3, 6, 149, 298, 447, 894

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 488,624,234,894, is 2.

Now, the common factors can be found like this.

488:2x 2x 2x 61

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

234:2x 3x 3x 13

894:2x 3x 149

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 3x 3x 13 = 1872

Therefore, the value for common factors is 1872.

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 = 63702692352/(2x1872)

LCM = 63702692352/3744

LCM = 17014608

Thus, we can understand that the LCM of 488,624,234,894 is 17014608.

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

• LCM of 143, 574, 765, 323
• LCM of 339, 843, 758, 667
• LCM of 410, 617, 679, 233
• LCM of 542, 983, 226, 445
• LCM of 223, 663, 350, 156

1. What is the LCM of 488, 624, 234, 894?

Answer: LCM of 488, 624, 234, 894 is 17014608.

2. How to calculate the LCM of 488, 624, 234, 894?

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 488, 624, 234, 894.

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}.