Given numbers are 752,214,327,596

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

The LCM of 752,214,327,596 is 3920447472.

Find LCM of 752,214,327,596 with Prime Factorization

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

2 x 2 x 188 x 107 x 327 x 149 = 3920447472

Therefore, the lowest common multiple of 752,214,327,596 is 3920447472.

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.

752 x 214 x 327 x 596 = 31363579776

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.

752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752

214 : 1, 2, 107, 214

327 : 1, 3, 109, 327

596 : 1, 2, 4, 149, 298, 596

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 752,214,327,596, is 1.

Now, the common factors can be found like this.

752:2x 2x 2x 2x 47

214:2x 107

327:3x 109

596:2x 2x 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 2 = 8

Therefore, the value for common factors is 8.

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 = 31363579776/(1x8)

LCM = 31363579776/8

LCM = 3920447472

Thus, we can understand that the LCM of 752,214,327,596 is 3920447472.

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

• LCM of 505, 897, 255, 828
• LCM of 792, 375, 266, 192
• LCM of 143, 407, 741, 737
• LCM of 214, 788, 658, 784
• LCM of 294, 317, 279, 437

1. What is the LCM of 752, 214, 327, 596?

Answer: LCM of 752, 214, 327, 596 is 3920447472.

2. How to calculate the LCM of 752, 214, 327, 596?

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 752, 214, 327, 596.

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}.