Given numbers are 582,540,576,146,330

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

The LCM of 582,540,576,146,330 is 672978240.

Find LCM of 582,540,576,146,330 with Prime Factorization

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

2 x 2 x 3 x 3 x 5 x 97 x 3 x 16 x 73 x 11 = 672978240

Therefore, the lowest common multiple of 582,540,576,146,330 is 672978240.

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.

582 x 540 x 576 x 146 x 330 = 8721797990400

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.

582 : 1, 2, 3, 6, 97, 194, 291, 582

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

576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

146 : 1, 2, 73, 146

330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 582,540,576,146,330, is 2.

Now, the common factors can be found like this.

582:2x 3x 97

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

576:2x 2x 2x 2x 2x 2x 3x 3

146:2x 73

330:2x 3x 5x 11

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 3x 3x 3x 5 = 6480

Therefore, the value for common factors is 6480.

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 = 8721797990400/(2x6480)

LCM = 8721797990400/12960

LCM = 672978240

Thus, we can understand that the LCM of 582,540,576,146,330 is 672978240.

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

• LCM of 849, 557, 766, 113, 264
• LCM of 681, 363, 978, 512, 195
• LCM of 865, 677, 421, 581, 922
• LCM of 769, 693, 161, 191, 715
• LCM of 618, 744, 728, 702, 883

1. What is the LCM of 582, 540, 576, 146, 330?

Answer: LCM of 582, 540, 576, 146, 330 is 672978240.

2. How to calculate the LCM of 582, 540, 576, 146, 330?

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 582, 540, 576, 146, 330.

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}.