Given numbers are 546,230,552,328

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

The LCM of 546,230,552,328 is 10297560.

Find LCM of 546,230,552,328 with Prime Factorization

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

2 x 2 x 2 x 3 x 23 x 91 x 5 x 1 x 41 = 10297560

Therefore, the lowest common multiple of 546,230,552,328 is 10297560.

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.

546 x 230 x 552 x 328 = 22737012480

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.

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

230 : 1, 2, 5, 10, 23, 46, 115, 230

552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

328 : 1, 2, 4, 8, 41, 82, 164, 328

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,230,552,328, is 2.

Now, the common factors can be found like this.

546:2x 3x 7x 13

230:2x 5x 23

552:2x 2x 2x 3x 23

328:2x 2x 2x 41

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 23 = 1104

Therefore, the value for common factors is 1104.

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 = 22737012480/(2x1104)

LCM = 22737012480/2208

LCM = 10297560

Thus, we can understand that the LCM of 546,230,552,328 is 10297560.

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

• LCM of 724, 839, 338, 117
• LCM of 395, 371, 427, 147
• LCM of 571, 642, 993, 355
• LCM of 538, 701, 182, 786
• LCM of 137, 661, 922, 629

1. What is the LCM of 546, 230, 552, 328?

Answer: LCM of 546, 230, 552, 328 is 10297560.

2. How to calculate the LCM of 546, 230, 552, 328?

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 546, 230, 552, 328.

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}.