Given numbers are 312,148,487,286

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

The LCM of 312,148,487,286 is 61841208.

Find LCM of 312,148,487,286 with Prime Factorization

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

2 x 2 x 13 x 6 x 37 x 487 x 11 = 61841208

Therefore, the lowest common multiple of 312,148,487,286 is 61841208.

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 148 x 487 x 286 = 6431485632

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

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

487 : 1, 487

286 : 1, 2, 11, 13, 22, 26, 143, 286

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 312,148,487,286, is 1.

Now, the common factors can be found like this.

312:2x 2x 2x 3x 13

148:2x 2x 37

487:487

286:2x 11x 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 13 = 104

Therefore, the value for common factors is 104.

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 = 6431485632/(1x104)

LCM = 6431485632/104

LCM = 61841208

Thus, we can understand that the LCM of 312,148,487,286 is 61841208.

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

• LCM of 396, 338, 325, 478
• LCM of 638, 792, 861, 764
• LCM of 993, 188, 997, 325
• LCM of 540, 625, 645, 948
• LCM of 592, 378, 684, 356

1. What is the LCM of 312, 148, 487, 286?

Answer: LCM of 312, 148, 487, 286 is 61841208.

2. How to calculate the LCM of 312, 148, 487, 286?

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, 148, 487, 286.

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}.