Given numbers are 312,390,546,583,646

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

The LCM of 312,390,546,583,646 is 2056334280.

Find LCM of 312,390,546,583,646 with Prime Factorization

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

2 x 3 x 13 x 4 x 5 x 7 x 583 x 323 = 2056334280

Therefore, the lowest common multiple of 312,390,546,583,646 is 2056334280.

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 390 x 546 x 583 x 646 = 25021475519040

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

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

583 : 1, 11, 53, 583

646 : 1, 2, 17, 19, 34, 38, 323, 646

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 312,390,546,583,646, is 1.

Now, the common factors can be found like this.

312:2x 2x 2x 3x 13

390:2x 3x 5x 13

546:2x 3x 7x 13

583:11x 53

646:2x 17x 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 3x 3x 13x 13 = 12168

Therefore, the value for common factors is 12168.

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 = 25021475519040/(1x12168)

LCM = 25021475519040/12168

LCM = 2056334280

Thus, we can understand that the LCM of 312,390,546,583,646 is 2056334280.

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

• LCM of 997, 766, 440, 144, 184
• LCM of 618, 210, 129, 760, 362
• LCM of 628, 901, 700, 858, 474
• LCM of 436, 231, 931, 865, 579
• LCM of 155, 745, 651, 231, 851

1. What is the LCM of 312, 390, 546, 583, 646?

Answer: LCM of 312, 390, 546, 583, 646 is 2056334280.

2. How to calculate the LCM of 312, 390, 546, 583, 646?

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, 390, 546, 583, 646.

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}.