Given numbers are 652,504,920,966

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

The LCM of 652,504,920,966 is 9447480.

Find LCM of 652,504,920,966 with Prime Factorization

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

2 x 2 x 2 x 3 x 7 x 23 x 163 x 3 x 5 x 1 = 9447480

Therefore, the lowest common multiple of 652,504,920,966 is 9447480.

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.

652 x 504 x 920 x 966 = 292040501760

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.

652 : 1, 2, 4, 163, 326, 652

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

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 652,504,920,966, is 2.

Now, the common factors can be found like this.

652:2x 2x 163

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

920:2x 2x 2x 5x 23

966:2x 3x 7x 23

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 7x 23 = 15456

Therefore, the value for common factors is 15456.

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 = 292040501760/(2x15456)

LCM = 292040501760/30912

LCM = 9447480

Thus, we can understand that the LCM of 652,504,920,966 is 9447480.

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

• LCM of 632, 896, 317, 700
• LCM of 994, 555, 802, 247
• LCM of 924, 957, 468, 777
• LCM of 369, 750, 464, 725
• LCM of 565, 937, 168, 657

1. What is the LCM of 652, 504, 920, 966?

Answer: LCM of 652, 504, 920, 966 is 9447480.

2. How to calculate the LCM of 652, 504, 920, 966?

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 652, 504, 920, 966.

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}.