Given numbers are 540,484,464,548

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

The LCM of 540,484,464,548 is 1038383280.

Find LCM of 540,484,464,548 with Prime Factorization

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

2 x 2 x 135 x 121 x 116 x 137 = 1038383280

Therefore, the lowest common multiple of 540,484,464,548 is 1038383280.

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.

540 x 484 x 464 x 548 = 66456529920

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.

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

484 : 1, 2, 4, 11, 22, 44, 121, 242, 484

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

548 : 1, 2, 4, 137, 274, 548

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 540,484,464,548, is 4.

Now, the common factors can be found like this.

540:2x 2x 3x 3x 3x 5

484:2x 2x 11x 11

464:2x 2x 2x 2x 29

548:2x 2x 137

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 2 = 16

Therefore, the value for common factors is 16.

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 = 66456529920/(4x16)

LCM = 66456529920/64

LCM = 1038383280

Thus, we can understand that the LCM of 540,484,464,548 is 1038383280.

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

• LCM of 856, 408, 421, 344
• LCM of 271, 214, 269, 534
• LCM of 535, 123, 277, 439
• LCM of 400, 616, 808, 957
• LCM of 275, 655, 802, 661

1. What is the LCM of 540, 484, 464, 548?

Answer: LCM of 540, 484, 464, 548 is 1038383280.

2. How to calculate the LCM of 540, 484, 464, 548?

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 540, 484, 464, 548.

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}.