Given numbers are 304,312,149,912

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

The LCM of 304,312,149,912 is 1766544.

Find LCM of 304,312,149,912 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 19 x 1 x 13 x 149 x 1 = 1766544

Therefore, the lowest common multiple of 304,312,149,912 is 1766544.

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.

304 x 312 x 149 x 912 = 12888705024

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.

304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304

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

149 : 1, 149

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 304,312,149,912, is 1.

Now, the common factors can be found like this.

304:2x 2x 2x 2x 19

312:2x 2x 2x 3x 13

149:149

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

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 2x 2x 3x 19 = 7296

Therefore, the value for common factors is 7296.

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 = 12888705024/(1x7296)

LCM = 12888705024/7296

LCM = 1766544

Thus, we can understand that the LCM of 304,312,149,912 is 1766544.

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

• LCM of 208, 142, 346, 908
• LCM of 500, 213, 705, 793
• LCM of 647, 563, 210, 747
• LCM of 787, 394, 378, 402
• LCM of 960, 526, 924, 754

1. What is the LCM of 304, 312, 149, 912?

Answer: LCM of 304, 312, 149, 912 is 1766544.

2. How to calculate the LCM of 304, 312, 149, 912?

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 304, 312, 149, 912.

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}.