Given numbers are 312,956,423,596,372

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

The LCM of 312,956,423,596,372 is 48564572472.

Find LCM of 312,956,423,596,372 with Prime Factorization

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

2 x 2 x 3 x 26 x 239 x 141 x 149 x 31 = 48564572472

Therefore, the lowest common multiple of 312,956,423,596,372 is 48564572472.

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 956 x 423 x 596 x 372 = 27973193743872

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

956 : 1, 2, 4, 239, 478, 956

423 : 1, 3, 9, 47, 141, 423

596 : 1, 2, 4, 149, 298, 596

372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 312,956,423,596,372, is 1.

Now, the common factors can be found like this.

312:2x 2x 2x 3x 13

956:2x 2x 239

423:3x 3x 47

596:2x 2x 149

372:2x 2x 3x 31

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 3x 3 = 576

Therefore, the value for common factors is 576.

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 = 27973193743872/(1x576)

LCM = 27973193743872/576

LCM = 48564572472

Thus, we can understand that the LCM of 312,956,423,596,372 is 48564572472.

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

• LCM of 854, 367, 751, 269, 493
• LCM of 600, 208, 896, 680, 910
• LCM of 780, 512, 955, 539, 917
• LCM of 241, 904, 495, 798, 999
• LCM of 940, 216, 779, 862, 326

1. What is the LCM of 312, 956, 423, 596, 372?

Answer: LCM of 312, 956, 423, 596, 372 is 48564572472.

2. How to calculate the LCM of 312, 956, 423, 596, 372?

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, 956, 423, 596, 372.

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}.