Given numbers are 324,732,868,565,578

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

The LCM of 324,732,868,565,578 is 700294748580.

Find LCM of 324,732,868,565,578 with Prime Factorization

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

2 x 2 x 3 x 27 x 61 x 217 x 565 x 289 = 700294748580

Therefore, the lowest common multiple of 324,732,868,565,578 is 700294748580.

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.

324 x 732 x 868 x 565 x 578 = 67228295863680

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.

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

732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

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

565 : 1, 5, 113, 565

578 : 1, 2, 17, 34, 289, 578

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 324,732,868,565,578, is 1.

Now, the common factors can be found like this.

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

732:2x 2x 3x 61

868:2x 2x 7x 31

565:5x 113

578:2x 17x 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 3 = 96

Therefore, the value for common factors is 96.

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 = 67228295863680/(1x96)

LCM = 67228295863680/96

LCM = 700294748580

Thus, we can understand that the LCM of 324,732,868,565,578 is 700294748580.

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

• LCM of 985, 175, 547, 463, 767
• LCM of 149, 882, 415, 199, 108
• LCM of 534, 897, 386, 479, 295
• LCM of 515, 359, 619, 813, 902
• LCM of 172, 581, 670, 871, 955

1. What is the LCM of 324, 732, 868, 565, 578?

Answer: LCM of 324, 732, 868, 565, 578 is 700294748580.

2. How to calculate the LCM of 324, 732, 868, 565, 578?

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 324, 732, 868, 565, 578.

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}.