Given numbers are 578,169,304,311,383

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

The LCM of 578,169,304,311,383 is 1768549802032.

Find LCM of 578,169,304,311,383 with Prime Factorization

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

2 x 289 x 169 x 152 x 311 x 383 = 1768549802032

Therefore, the lowest common multiple of 578,169,304,311,383 is 1768549802032.

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.

578 x 169 x 304 x 311 x 383 = 3537099604064

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.

578 : 1, 2, 17, 34, 289, 578

169 : 1, 13, 169

304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304

311 : 1, 311

383 : 1, 383

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 578,169,304,311,383, is 1.

Now, the common factors can be found like this.

578:2x 17x 17

169:13x 13

304:2x 2x 2x 2x 19

311:311

383:383

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

2 = 2

Therefore, the value for common factors is 2.

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 = 3537099604064/(1x2)

LCM = 3537099604064/2

LCM = 1768549802032

Thus, we can understand that the LCM of 578,169,304,311,383 is 1768549802032.

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

• LCM of 439, 489, 204, 986, 620
• LCM of 907, 515, 516, 158, 593
• LCM of 213, 292, 433, 981, 948
• LCM of 560, 574, 737, 884, 100
• LCM of 975, 507, 883, 430, 731

1. What is the LCM of 578, 169, 304, 311, 383?

Answer: LCM of 578, 169, 304, 311, 383 is 1768549802032.

2. How to calculate the LCM of 578, 169, 304, 311, 383?

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 578, 169, 304, 311, 383.

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}.