Given numbers are 460,302,218,625

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

The LCM of 460,302,218,625 is 946392500.

Find LCM of 460,302,218,625 with Prime Factorization

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

2 x 5 x 46 x 151 x 109 x 125 = 946392500

Therefore, the lowest common multiple of 460,302,218,625 is 946392500.

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 302 x 218 x 625 = 18927850000

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

302 : 1, 2, 151, 302

218 : 1, 2, 109, 218

625 : 1, 5, 25, 125, 625

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,302,218,625, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

302:2x 151

218:2x 109

625:5x 5x 5x 5

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 5 = 20

Therefore, the value for common factors is 20.

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 = 18927850000/(1x20)

LCM = 18927850000/20

LCM = 946392500

Thus, we can understand that the LCM of 460,302,218,625 is 946392500.

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

• LCM of 720, 923, 977, 948
• LCM of 129, 106, 899, 238
• LCM of 159, 266, 961, 970
• LCM of 350, 457, 273, 804
• LCM of 644, 596, 106, 956

1. What is the LCM of 460, 302, 218, 625?

Answer: LCM of 460, 302, 218, 625 is 946392500.

2. How to calculate the LCM of 460, 302, 218, 625?

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, 302, 218, 625.

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}.