Given numbers are 460,949,988,912

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

The LCM of 460,949,988,912 is 99531120.

Find LCM of 460,949,988,912 with Prime Factorization

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

2 x 2 x 13 x 19 x 115 x 73 x 1 x 12 = 99531120

Therefore, the lowest common multiple of 460,949,988,912 is 99531120.

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 949 x 988 x 912 = 393346986240

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

949 : 1, 13, 73, 949

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,949,988,912, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

949:13x 73

988:2x 2x 13x 19

912:2x 2x 2x 2x 3x 19

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 13x 19 = 3952

Therefore, the value for common factors is 3952.

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 = 393346986240/(1x3952)

LCM = 393346986240/3952

LCM = 99531120

Thus, we can understand that the LCM of 460,949,988,912 is 99531120.

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

• LCM of 857, 635, 394, 767
• LCM of 404, 268, 146, 475
• LCM of 667, 150, 339, 617
• LCM of 493, 359, 532, 316
• LCM of 708, 788, 990, 512

1. What is the LCM of 460, 949, 988, 912?

Answer: LCM of 460, 949, 988, 912 is 99531120.

2. How to calculate the LCM of 460, 949, 988, 912?

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, 949, 988, 912.

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}.