Given numbers are 364,497,504,324

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

The LCM of 364,497,504,324 is 4186728.

Find LCM of 364,497,504,324 with Prime Factorization

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

2 x 2 x 3 x 3 x 7 x 13 x 71 x 2 x 9 = 4186728

Therefore, the lowest common multiple of 364,497,504,324 is 4186728.

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.

364 x 497 x 504 x 324 = 29541552768

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.

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

497 : 1, 7, 71, 497

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

324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 364,497,504,324, is 1.

Now, the common factors can be found like this.

364:2x 2x 7x 13

497:7x 71

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

324:2x 2x 3x 3x 3x 3

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 = 29541552768/(1x7056)

LCM = 29541552768/7056

LCM = 4186728

Thus, we can understand that the LCM of 364,497,504,324 is 4186728.

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

• LCM of 566, 872, 227, 799
• LCM of 383, 260, 253, 261
• LCM of 118, 205, 196, 723
• LCM of 849, 797, 660, 421
• LCM of 602, 672, 708, 233

1. What is the LCM of 364, 497, 504, 324?

Answer: LCM of 364, 497, 504, 324 is 4186728.

2. How to calculate the LCM of 364, 497, 504, 324?

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 364, 497, 504, 324.

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}.