Given numbers are 830,504,139,990,460

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

The LCM of 830,504,139,990,460 is 7355529720.

Find LCM of 830,504,139,990,460 with Prime Factorization

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

2 x 2 x 3 x 3 x 5 x 83 x 14 x 139 x 11 x 23 = 7355529720

Therefore, the lowest common multiple of 830,504,139,990,460 is 7355529720.

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.

830 x 504 x 139 x 990 x 460 = 26479906992000

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.

830 : 1, 2, 5, 10, 83, 166, 415, 830

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

139 : 1, 139

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 830,504,139,990,460, is 1.

Now, the common factors can be found like this.

830:2x 5x 83

504:2x 2x 2x 3x 3x 7

139:139

990:2x 3x 3x 5x 11

460:2x 2x 5x 23

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 3x 5x 5 = 3600

Therefore, the value for common factors is 3600.

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 = 26479906992000/(1x3600)

LCM = 26479906992000/3600

LCM = 7355529720

Thus, we can understand that the LCM of 830,504,139,990,460 is 7355529720.

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

• LCM of 930, 211, 469, 373, 467
• LCM of 940, 321, 679, 778, 848
• LCM of 669, 373, 825, 811, 468
• LCM of 200, 215, 206, 450, 693
• LCM of 862, 833, 159, 953, 359

1. What is the LCM of 830, 504, 139, 990, 460?

Answer: LCM of 830, 504, 139, 990, 460 is 7355529720.

2. How to calculate the LCM of 830, 504, 139, 990, 460?

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 830, 504, 139, 990, 460.

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}.