Given numbers are 624,866,504,676

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

The LCM of 624,866,504,676 is 73762416.

Find LCM of 624,866,504,676 with Prime Factorization

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

2 x 2 x 2 x 3 x 13 x 2 x 433 x 21 x 13 = 73762416

Therefore, the lowest common multiple of 624,866,504,676 is 73762416.

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.

624 x 866 x 504 x 676 = 184110990336

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.

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

866 : 1, 2, 433, 866

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

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 624,866,504,676, is 2.

Now, the common factors can be found like this.

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

866:2x 433

504:2x 2x 2x 3x 3x 7

676:2x 2x 13x 13

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 13 = 1248

Therefore, the value for common factors is 1248.

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 = 184110990336/(2x1248)

LCM = 184110990336/2496

LCM = 73762416

Thus, we can understand that the LCM of 624,866,504,676 is 73762416.

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

• LCM of 955, 704, 537, 830
• LCM of 667, 632, 546, 253
• LCM of 872, 600, 397, 168
• LCM of 716, 476, 539, 855
• LCM of 636, 378, 216, 443

1. What is the LCM of 624, 866, 504, 676?

Answer: LCM of 624, 866, 504, 676 is 73762416.

2. How to calculate the LCM of 624, 866, 504, 676?

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 624, 866, 504, 676.

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}.