Given numbers are 264,975,504,408

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

The LCM of 264,975,504,408 is 30630600.

Find LCM of 264,975,504,408 with Prime Factorization

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

2 x 2 x 2 x 3 x 11 x 325 x 21 x 17 = 30630600

Therefore, the lowest common multiple of 264,975,504,408 is 30630600.

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.

264 x 975 x 504 x 408 = 52929676800

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.

264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

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

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 264,975,504,408, is 3.

Now, the common factors can be found like this.

264:2x 2x 2x 3x 11

975:3x 5x 5x 13

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

408:2x 2x 2x 3x 17

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 2x 3x 3 = 576

Therefore, the value for common factors is 576.

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 = 52929676800/(3x576)

LCM = 52929676800/1728

LCM = 30630600

Thus, we can understand that the LCM of 264,975,504,408 is 30630600.

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

• LCM of 971, 969, 146, 535
• LCM of 890, 491, 452, 313
• LCM of 464, 862, 418, 934
• LCM of 477, 724, 892, 733
• LCM of 849, 574, 168, 143

1. What is the LCM of 264, 975, 504, 408?

Answer: LCM of 264, 975, 504, 408 is 30630600.

2. How to calculate the LCM of 264, 975, 504, 408?

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 264, 975, 504, 408.

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}.