Given numbers are 114,701,730,624,327

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

The LCM of 114,701,730,624,327 is 330655362960.

Find LCM of 114,701,730,624,327 with Prime Factorization

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

2 x 3 x 19 x 701 x 365 x 104 x 109 = 330655362960

Therefore, the lowest common multiple of 114,701,730,624,327 is 330655362960.

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.

114 x 701 x 730 x 624 x 327 = 11903593066560

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.

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

701 : 1, 701

730 : 1, 2, 5, 10, 73, 146, 365, 730

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

327 : 1, 3, 109, 327

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 114,701,730,624,327, is 1.

Now, the common factors can be found like this.

114:2x 3x 19

701:701

730:2x 5x 73

624:2x 2x 2x 2x 3x 13

327:3x 109

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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 11903593066560/(1x36)

LCM = 11903593066560/36

LCM = 330655362960

Thus, we can understand that the LCM of 114,701,730,624,327 is 330655362960.

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

• LCM of 906, 704, 873, 354, 380
• LCM of 587, 897, 281, 151, 194
• LCM of 909, 379, 833, 516, 627
• LCM of 327, 755, 665, 209, 935
• LCM of 183, 515, 833, 924, 860

1. What is the LCM of 114, 701, 730, 624, 327?

Answer: LCM of 114, 701, 730, 624, 327 is 330655362960.

2. How to calculate the LCM of 114, 701, 730, 624, 327?

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 114, 701, 730, 624, 327.

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}.