Given numbers are 324,114,539,384

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

The LCM of 324,114,539,384 is 106178688.

Find LCM of 324,114,539,384 with Prime Factorization

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

2 x 2 x 3 x 27 x 19 x 539 x 32 = 106178688

Therefore, the lowest common multiple of 324,114,539,384 is 106178688.

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 114 x 539 x 384 = 7644865536

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

114 : 1, 2, 3, 6, 19, 38, 57, 114

539 : 1, 7, 11, 49, 77, 539

384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 324,114,539,384, is 1.

Now, the common factors can be found like this.

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

114:2x 3x 19

539:7x 7x 11

384:2x 2x 2x 2x 2x 2x 2x 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 3x 3 = 72

Therefore, the value for common factors is 72.

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 = 7644865536/(1x72)

LCM = 7644865536/72

LCM = 106178688

Thus, we can understand that the LCM of 324,114,539,384 is 106178688.

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

• LCM of 482, 321, 807, 849
• LCM of 345, 706, 461, 109
• LCM of 217, 790, 947, 972
• LCM of 446, 599, 809, 267
• LCM of 885, 545, 369, 896

1. What is the LCM of 324, 114, 539, 384?

Answer: LCM of 324, 114, 539, 384 is 106178688.

2. How to calculate the LCM of 324, 114, 539, 384?

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, 114, 539, 384.

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}.