Given numbers are 305,906,136,198,504

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

The LCM of 305,906,136,198,504 is 4340591640.

Find LCM of 305,906,136,198,504 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 305 x 151 x 17 x 11 x 7 = 4340591640

Therefore, the lowest common multiple of 305,906,136,198,504 is 4340591640.

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.

305 x 906 x 136 x 198 x 504 = 3750271176960

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.

305 : 1, 5, 61, 305

906 : 1, 2, 3, 6, 151, 302, 453, 906

136 : 1, 2, 4, 8, 17, 34, 68, 136

198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 305,906,136,198,504, is 1.

Now, the common factors can be found like this.

305:5x 61

906:2x 3x 151

136:2x 2x 2x 17

198:2x 3x 3x 11

504:2x 2x 2x 3x 3x 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 2x 3x 3x 3 = 864

Therefore, the value for common factors is 864.

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 = 3750271176960/(1x864)

LCM = 3750271176960/864

LCM = 4340591640

Thus, we can understand that the LCM of 305,906,136,198,504 is 4340591640.

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

• LCM of 289, 174, 656, 982, 635
• LCM of 145, 200, 960, 799, 681
• LCM of 936, 517, 778, 954, 661
• LCM of 871, 201, 284, 723, 638
• LCM of 950, 114, 113, 636, 146

1. What is the LCM of 305, 906, 136, 198, 504?

Answer: LCM of 305, 906, 136, 198, 504 is 4340591640.

2. How to calculate the LCM of 305, 906, 136, 198, 504?

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 305, 906, 136, 198, 504.

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}.