Given numbers are 312,772,546,322,509

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

The LCM of 312,772,546,322,509 is 4934640984.

Find LCM of 312,772,546,322,509 with Prime Factorization

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

2 x 2 x 3 x 7 x 13 x 2 x 193 x 1 x 23 x 509 = 4934640984

Therefore, the lowest common multiple of 312,772,546,322,509 is 4934640984.

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 772 x 546 x 322 x 509 = 21554511818112

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

772 : 1, 2, 4, 193, 386, 772

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

322 : 1, 2, 7, 14, 23, 46, 161, 322

509 : 1, 509

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 312,772,546,322,509, is 1.

Now, the common factors can be found like this.

312:2x 2x 2x 3x 13

772:2x 2x 193

546:2x 3x 7x 13

322:2x 7x 23

509:509

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 3x 7x 13 = 4368

Therefore, the value for common factors is 4368.

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 = 21554511818112/(1x4368)

LCM = 21554511818112/4368

LCM = 4934640984

Thus, we can understand that the LCM of 312,772,546,322,509 is 4934640984.

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

• LCM of 716, 928, 101, 322, 577
• LCM of 534, 753, 290, 570, 773
• LCM of 406, 803, 803, 525, 838
• LCM of 663, 187, 664, 658, 197
• LCM of 772, 471, 853, 502, 991

1. What is the LCM of 312, 772, 546, 322, 509?

Answer: LCM of 312, 772, 546, 322, 509 is 4934640984.

2. How to calculate the LCM of 312, 772, 546, 322, 509?

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, 772, 546, 322, 509.

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}.