Given numbers are 232,578,213,438

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

The LCM of 232,578,213,438 is 1042529352.

Find LCM of 232,578,213,438 with Prime Factorization

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

2 x 3 x 116 x 289 x 71 x 73 = 1042529352

Therefore, the lowest common multiple of 232,578,213,438 is 1042529352.

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 578 x 213 x 438 = 12510352224

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

578 : 1, 2, 17, 34, 289, 578

213 : 1, 3, 71, 213

438 : 1, 2, 3, 6, 73, 146, 219, 438

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 232,578,213,438, is 1.

Now, the common factors can be found like this.

232:2x 2x 2x 29

578:2x 17x 17

213:3x 71

438:2x 3x 73

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 3 = 12

Therefore, the value for common factors is 12.

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 = 12510352224/(1x12)

LCM = 12510352224/12

LCM = 1042529352

Thus, we can understand that the LCM of 232,578,213,438 is 1042529352.

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

• LCM of 152, 358, 547, 979
• LCM of 148, 254, 856, 275
• LCM of 857, 144, 832, 532
• LCM of 196, 618, 958, 344
• LCM of 273, 471, 975, 692

1. What is the LCM of 232, 578, 213, 438?

Answer: LCM of 232, 578, 213, 438 is 1042529352.

2. How to calculate the LCM of 232, 578, 213, 438?

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, 578, 213, 438.

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}.