Given numbers are 460,899,305,370

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

The LCM of 460,899,305,370 is 933359780.

Find LCM of 460,899,305,370 with Prime Factorization

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

2 x 5 x 46 x 899 x 61 x 37 = 933359780

Therefore, the lowest common multiple of 460,899,305,370 is 933359780.

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 899 x 305 x 370 = 46667989000

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

899 : 1, 29, 31, 899

305 : 1, 5, 61, 305

370 : 1, 2, 5, 10, 37, 74, 185, 370

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,899,305,370, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

899:29x 31

305:5x 61

370:2x 5x 37

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 5x 5 = 50

Therefore, the value for common factors is 50.

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 = 46667989000/(1x50)

LCM = 46667989000/50

LCM = 933359780

Thus, we can understand that the LCM of 460,899,305,370 is 933359780.

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

• LCM of 989, 600, 142, 302
• LCM of 501, 151, 786, 303
• LCM of 325, 423, 724, 247
• LCM of 896, 993, 329, 659
• LCM of 350, 566, 141, 820

1. What is the LCM of 460, 899, 305, 370?

Answer: LCM of 460, 899, 305, 370 is 933359780.

2. How to calculate the LCM of 460, 899, 305, 370?

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, 899, 305, 370.

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}.