Given numbers are 232,912,380,478

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

The LCM of 232,912,380,478 is 31605360.

Find LCM of 232,912,380,478 with Prime Factorization

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

2 x 2 x 2 x 19 x 29 x 6 x 5 x 239 = 31605360

Therefore, the lowest common multiple of 232,912,380,478 is 31605360.

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.

232 x 912 x 380 x 478 = 38432117760

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.

232 : 1, 2, 4, 8, 29, 58, 116, 232

912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

478 : 1, 2, 239, 478

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 232,912,380,478, is 2.

Now, the common factors can be found like this.

232:2x 2x 2x 29

912:2x 2x 2x 2x 3x 19

380:2x 2x 5x 19

478:2x 239

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 19 = 608

Therefore, the value for common factors is 608.

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 = 38432117760/(2x608)

LCM = 38432117760/1216

LCM = 31605360

Thus, we can understand that the LCM of 232,912,380,478 is 31605360.

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

• LCM of 456, 866, 849, 744
• LCM of 310, 847, 668, 403
• LCM of 388, 852, 717, 994
• LCM of 301, 387, 994, 331
• LCM of 836, 961, 679, 152

1. What is the LCM of 232, 912, 380, 478?

Answer: LCM of 232, 912, 380, 478 is 31605360.

2. How to calculate the LCM of 232, 912, 380, 478?

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 232, 912, 380, 478.

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}.