Given numbers are 460,909,366,470,420

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

The LCM of 460,909,366,470,420 is 8391651660.

Find LCM of 460,909,366,470,420 with Prime Factorization

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

2 x 2 x 3 x 5 x 23 x 303 x 61 x 47 x 7 = 8391651660

Therefore, the lowest common multiple of 460,909,366,470,420 is 8391651660.

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 909 x 366 x 470 x 420 = 30209945976000

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

909 : 1, 3, 9, 101, 303, 909

366 : 1, 2, 3, 6, 61, 122, 183, 366

470 : 1, 2, 5, 10, 47, 94, 235, 470

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,909,366,470,420, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

909:3x 3x 101

366:2x 3x 61

470:2x 5x 47

420:2x 2x 3x 5x 7

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 = 30209945976000/(1x3600)

LCM = 30209945976000/3600

LCM = 8391651660

Thus, we can understand that the LCM of 460,909,366,470,420 is 8391651660.

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

• LCM of 983, 317, 693, 599, 792
• LCM of 496, 975, 663, 226, 908
• LCM of 253, 664, 699, 659, 573
• LCM of 309, 277, 427, 336, 582
• LCM of 961, 815, 264, 116, 310

1. What is the LCM of 460, 909, 366, 470, 420?

Answer: LCM of 460, 909, 366, 470, 420 is 8391651660.

2. How to calculate the LCM of 460, 909, 366, 470, 420?

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, 909, 366, 470, 420.

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}.