Given numbers are 296,213,586,381

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

The LCM of 296,213,586,381 is 2346079128.

Find LCM of 296,213,586,381 with Prime Factorization

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

2 x 3 x 148 x 71 x 293 x 127 = 2346079128

Therefore, the lowest common multiple of 296,213,586,381 is 2346079128.

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.

296 x 213 x 586 x 381 = 14076474768

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.

296 : 1, 2, 4, 8, 37, 74, 148, 296

213 : 1, 3, 71, 213

586 : 1, 2, 293, 586

381 : 1, 3, 127, 381

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 296,213,586,381, is 1.

Now, the common factors can be found like this.

296:2x 2x 2x 37

213:3x 71

586:2x 293

381:3x 127

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 14076474768/(1x6)

LCM = 14076474768/6

LCM = 2346079128

Thus, we can understand that the LCM of 296,213,586,381 is 2346079128.

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

• LCM of 731, 892, 634, 466
• LCM of 290, 257, 307, 869
• LCM of 862, 544, 348, 136
• LCM of 802, 419, 301, 864
• LCM of 657, 757, 928, 622

1. What is the LCM of 296, 213, 586, 381?

Answer: LCM of 296, 213, 586, 381 is 2346079128.

2. How to calculate the LCM of 296, 213, 586, 381?

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 296, 213, 586, 381.

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}.