Given numbers are 460,824,546,939

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

The LCM of 460,824,546,939 is 8097147240.

Find LCM of 460,824,546,939 with Prime Factorization

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

2 x 2 x 3 x 115 x 206 x 91 x 313 = 8097147240

Therefore, the lowest common multiple of 460,824,546,939 is 8097147240.

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.

460 x 824 x 546 x 939 = 194331533760

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.

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

824 : 1, 2, 4, 8, 103, 206, 412, 824

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

939 : 1, 3, 313, 939

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,824,546,939, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

824:2x 2x 2x 103

546:2x 3x 7x 13

939:3x 313

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 3 = 24

Therefore, the value for common factors is 24.

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 = 194331533760/(1x24)

LCM = 194331533760/24

LCM = 8097147240

Thus, we can understand that the LCM of 460,824,546,939 is 8097147240.

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

• LCM of 801, 961, 516, 270
• LCM of 198, 208, 108, 645
• LCM of 845, 229, 734, 412
• LCM of 999, 483, 431, 997
• LCM of 332, 370, 500, 403

1. What is the LCM of 460, 824, 546, 939?

Answer: LCM of 460, 824, 546, 939 is 8097147240.

2. How to calculate the LCM of 460, 824, 546, 939?

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 460, 824, 546, 939.

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}.