Given numbers are 130,187,912,966

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

The LCM of 130,187,912,966 is 1784742960.

Find LCM of 130,187,912,966 with Prime Factorization

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

2 x 3 x 65 x 187 x 152 x 161 = 1784742960

Therefore, the lowest common multiple of 130,187,912,966 is 1784742960.

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.

130 x 187 x 912 x 966 = 21416915520

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.

130 : 1, 2, 5, 10, 13, 26, 65, 130

187 : 1, 11, 17, 187

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

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 130,187,912,966, is 1.

Now, the common factors can be found like this.

130:2x 5x 13

187:11x 17

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

966:2x 3x 7x 23

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 3 = 12

Therefore, the value for common factors is 12.

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 = 21416915520/(1x12)

LCM = 21416915520/12

LCM = 1784742960

Thus, we can understand that the LCM of 130,187,912,966 is 1784742960.

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

• LCM of 370, 598, 851, 778
• LCM of 917, 714, 565, 317
• LCM of 667, 895, 803, 960
• LCM of 104, 634, 751, 448
• LCM of 504, 151, 599, 610

1. What is the LCM of 130, 187, 912, 966?

Answer: LCM of 130, 187, 912, 966 is 1784742960.

2. How to calculate the LCM of 130, 187, 912, 966?

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 130, 187, 912, 966.

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}.