Given numbers are 924,183,738,586,872

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

The LCM of 924,183,738,586,872 is 442823878728.

Find LCM of 924,183,738,586,872 with Prime Factorization

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

2 x 2 x 3 x 77 x 61 x 123 x 293 x 218 = 442823878728

Therefore, the lowest common multiple of 924,183,738,586,872 is 442823878728.

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.

924 x 183 x 738 x 586 x 872 = 63766638536832

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.

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

183 : 1, 3, 61, 183

738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

586 : 1, 2, 293, 586

872 : 1, 2, 4, 8, 109, 218, 436, 872

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 924,183,738,586,872, is 1.

Now, the common factors can be found like this.

924:2x 2x 3x 7x 11

183:3x 61

738:2x 3x 3x 41

586:2x 293

872:2x 2x 2x 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 2x 2x 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 63766638536832/(1x144)

LCM = 63766638536832/144

LCM = 442823878728

Thus, we can understand that the LCM of 924,183,738,586,872 is 442823878728.

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

• LCM of 746, 695, 253, 379, 840
• LCM of 254, 180, 401, 678, 532
• LCM of 937, 726, 348, 414, 118
• LCM of 839, 411, 562, 958, 428
• LCM of 312, 358, 426, 426, 955

1. What is the LCM of 924, 183, 738, 586, 872?

Answer: LCM of 924, 183, 738, 586, 872 is 442823878728.

2. How to calculate the LCM of 924, 183, 738, 586, 872?

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 924, 183, 738, 586, 872.

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}.