Given numbers are 390,868,232,468

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

The LCM of 390,868,232,468 is 29451240.

Find LCM of 390,868,232,468 with Prime Factorization

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

2 x 2 x 3 x 13 x 5 x 217 x 58 x 3 = 29451240

Therefore, the lowest common multiple of 390,868,232,468 is 29451240.

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.

390 x 868 x 232 x 468 = 36755147520

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.

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

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

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 390,868,232,468, is 2.

Now, the common factors can be found like this.

390:2x 3x 5x 13

868:2x 2x 7x 31

232:2x 2x 2x 29

468:2x 2x 3x 3x 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 3x 13 = 624

Therefore, the value for common factors is 624.

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 = 36755147520/(2x624)

LCM = 36755147520/1248

LCM = 29451240

Thus, we can understand that the LCM of 390,868,232,468 is 29451240.

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

• LCM of 419, 861, 913, 856
• LCM of 530, 791, 782, 179
• LCM of 396, 561, 177, 479
• LCM of 191, 416, 801, 483
• LCM of 202, 772, 667, 260

1. What is the LCM of 390, 868, 232, 468?

Answer: LCM of 390, 868, 232, 468 is 29451240.

2. How to calculate the LCM of 390, 868, 232, 468?

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 390, 868, 232, 468.

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}.