Given numbers are 804,504,924,868

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

The LCM of 804,504,924,868 is 11514888.

Find LCM of 804,504,924,868 with Prime Factorization

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

2 x 2 x 3 x 7 x 67 x 6 x 11 x 31 = 11514888

Therefore, the lowest common multiple of 804,504,924,868 is 11514888.

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.

804 x 504 x 924 x 868 = 324996198912

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.

804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

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

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

868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 804,504,924,868, is 4.

Now, the common factors can be found like this.

804:2x 2x 3x 67

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

924:2x 2x 3x 7x 11

868:2x 2x 7x 31

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 3x 7x 7 = 7056

Therefore, the value for common factors is 7056.

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 = 324996198912/(4x7056)

LCM = 324996198912/28224

LCM = 11514888

Thus, we can understand that the LCM of 804,504,924,868 is 11514888.

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

• LCM of 907, 718, 856, 742
• LCM of 947, 342, 260, 515
• LCM of 925, 280, 789, 696
• LCM of 449, 264, 893, 946
• LCM of 490, 455, 147, 908

1. What is the LCM of 804, 504, 924, 868?

Answer: LCM of 804, 504, 924, 868 is 11514888.

2. How to calculate the LCM of 804, 504, 924, 868?

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 804, 504, 924, 868.

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}.