Given numbers are 546,528,948,543

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

The LCM of 546,528,948,543 is 687038352.

Find LCM of 546,528,948,543 with Prime Factorization

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

2 x 2 x 3 x 91 x 44 x 79 x 181 = 687038352

Therefore, the lowest common multiple of 546,528,948,543 is 687038352.

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 528 x 948 x 543 = 148400284032

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

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

543 : 1, 3, 181, 543

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,528,948,543, is 3.

Now, the common factors can be found like this.

546:2x 3x 7x 13

528:2x 2x 2x 2x 3x 11

948:2x 2x 3x 79

543:3x 181

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 = 148400284032/(3x72)

LCM = 148400284032/216

LCM = 687038352

Thus, we can understand that the LCM of 546,528,948,543 is 687038352.

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

• LCM of 925, 987, 321, 729
• LCM of 593, 712, 851, 676
• LCM of 231, 173, 615, 205
• LCM of 292, 162, 342, 353
• LCM of 825, 270, 902, 260

1. What is the LCM of 546, 528, 948, 543?

Answer: LCM of 546, 528, 948, 543 is 687038352.

2. How to calculate the LCM of 546, 528, 948, 543?

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, 528, 948, 543.

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}.