Given numbers are 542,576,317,130

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

The LCM of 542,576,317,130 is 3216358080.

Find LCM of 542,576,317,130 with Prime Factorization

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

2 x 271 x 288 x 317 x 65 = 3216358080

Therefore, the lowest common multiple of 542,576,317,130 is 3216358080.

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.

542 x 576 x 317 x 130 = 12865432320

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.

542 : 1, 2, 271, 542

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

317 : 1, 317

130 : 1, 2, 5, 10, 13, 26, 65, 130

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 542,576,317,130, is 1.

Now, the common factors can be found like this.

542:2x 271

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

317:317

130:2x 5x 13

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 12865432320/(1x4)

LCM = 12865432320/4

LCM = 3216358080

Thus, we can understand that the LCM of 542,576,317,130 is 3216358080.

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

• LCM of 614, 711, 764, 824
• LCM of 525, 462, 597, 295
• LCM of 191, 913, 557, 240
• LCM of 746, 321, 786, 975
• LCM of 358, 344, 743, 271

1. What is the LCM of 542, 576, 317, 130?

Answer: LCM of 542, 576, 317, 130 is 3216358080.

2. How to calculate the LCM of 542, 576, 317, 130?

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 542, 576, 317, 130.

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}.