Given numbers are 130,964,114,817

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

The LCM of 130,964,114,817 is 153579660.

Find LCM of 130,964,114,817 with Prime Factorization

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

2 x 19 x 65 x 482 x 3 x 43 = 153579660

Therefore, the lowest common multiple of 130,964,114,817 is 153579660.

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 964 x 114 x 817 = 11672054160

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

964 : 1, 2, 4, 241, 482, 964

114 : 1, 2, 3, 6, 19, 38, 57, 114

817 : 1, 19, 43, 817

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 130,964,114,817, is 1.

Now, the common factors can be found like this.

130:2x 5x 13

964:2x 2x 241

114:2x 3x 19

817:19x 43

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 19 = 76

Therefore, the value for common factors is 76.

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 = 11672054160/(1x76)

LCM = 11672054160/76

LCM = 153579660

Thus, we can understand that the LCM of 130,964,114,817 is 153579660.

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

• LCM of 890, 167, 621, 565
• LCM of 430, 629, 539, 199
• LCM of 714, 908, 713, 539
• LCM of 468, 416, 939, 960
• LCM of 391, 274, 852, 690

1. What is the LCM of 130, 964, 114, 817?

Answer: LCM of 130, 964, 114, 817 is 153579660.

2. How to calculate the LCM of 130, 964, 114, 817?

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, 964, 114, 817.

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}.