Given numbers are 312,302,103,258,348

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

The LCM of 312,302,103,258,348 is 6051112392.

Find LCM of 312,302,103,258,348 with Prime Factorization

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

2 x 2 x 3 x 26 x 151 x 103 x 43 x 29 = 6051112392

Therefore, the lowest common multiple of 312,302,103,258,348 is 6051112392.

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.

312 x 302 x 103 x 258 x 348 = 871360184448

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.

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

302 : 1, 2, 151, 302

103 : 1, 103

258 : 1, 2, 3, 6, 43, 86, 129, 258

348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 312,302,103,258,348, is 1.

Now, the common factors can be found like this.

312:2x 2x 2x 3x 13

302:2x 151

103:103

258:2x 3x 43

348:2x 2x 3x 29

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 3 = 144

Therefore, the value for common factors is 144.

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 = 871360184448/(1x144)

LCM = 871360184448/144

LCM = 6051112392

Thus, we can understand that the LCM of 312,302,103,258,348 is 6051112392.

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

• LCM of 400, 266, 855, 492, 270
• LCM of 706, 817, 300, 583, 126
• LCM of 134, 479, 897, 232, 907
• LCM of 951, 871, 341, 107, 530
• LCM of 462, 100, 642, 953, 724

1. What is the LCM of 312, 302, 103, 258, 348?

Answer: LCM of 312, 302, 103, 258, 348 is 6051112392.

2. How to calculate the LCM of 312, 302, 103, 258, 348?

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 312, 302, 103, 258, 348.

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}.