Given numbers are 546,552,214,755

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

The LCM of 546,552,214,755 is 4057992120.

Find LCM of 546,552,214,755 with Prime Factorization

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

2 x 3 x 91 x 92 x 107 x 755 = 4057992120

Therefore, the lowest common multiple of 546,552,214,755 is 4057992120.

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 552 x 214 x 755 = 48695905440

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

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

214 : 1, 2, 107, 214

755 : 1, 5, 151, 755

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,552,214,755, is 1.

Now, the common factors can be found like this.

546:2x 3x 7x 13

552:2x 2x 2x 3x 23

214:2x 107

755:5x 151

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 3 = 12

Therefore, the value for common factors is 12.

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 = 48695905440/(1x12)

LCM = 48695905440/12

LCM = 4057992120

Thus, we can understand that the LCM of 546,552,214,755 is 4057992120.

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

• LCM of 254, 354, 851, 767
• LCM of 124, 229, 861, 558
• LCM of 851, 899, 727, 498
• LCM of 994, 146, 653, 332
• LCM of 399, 568, 657, 694

1. What is the LCM of 546, 552, 214, 755?

Answer: LCM of 546, 552, 214, 755 is 4057992120.

2. How to calculate the LCM of 546, 552, 214, 755?

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, 552, 214, 755.

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}.