Given numbers are 312,517,447,464,364

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

The LCM of 312,517,447,464,364 is 9757924176.

Find LCM of 312,517,447,464,364 with Prime Factorization

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

2 x 2 x 2 x 3 x 13 x 1 x 517 x 149 x 58 x 7 = 9757924176

Therefore, the lowest common multiple of 312,517,447,464,364 is 9757924176.

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 517 x 447 x 464 x 364 = 12177889371648

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

517 : 1, 11, 47, 517

447 : 1, 3, 149, 447

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 312,517,447,464,364, is 1.

Now, the common factors can be found like this.

312:2x 2x 2x 3x 13

517:11x 47

447:3x 149

464:2x 2x 2x 2x 29

364:2x 2x 7x 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 2x 2x 3x 13 = 1248

Therefore, the value for common factors is 1248.

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 = 12177889371648/(1x1248)

LCM = 12177889371648/1248

LCM = 9757924176

Thus, we can understand that the LCM of 312,517,447,464,364 is 9757924176.

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

• LCM of 823, 702, 846, 369, 617
• LCM of 872, 201, 881, 166, 870
• LCM of 623, 620, 462, 255, 828
• LCM of 946, 172, 984, 402, 782
• LCM of 782, 747, 999, 901, 850

1. What is the LCM of 312, 517, 447, 464, 364?

Answer: LCM of 312, 517, 447, 464, 364 is 9757924176.

2. How to calculate the LCM of 312, 517, 447, 464, 364?

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, 517, 447, 464, 364.

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}.