Given numbers are 576,706,217,691

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

The LCM of 576,706,217,691 is 30488423616.

Find LCM of 576,706,217,691 with Prime Factorization

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

2 x 288 x 353 x 217 x 691 = 30488423616

Therefore, the lowest common multiple of 576,706,217,691 is 30488423616.

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.

576 x 706 x 217 x 691 = 60976847232

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.

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

706 : 1, 2, 353, 706

217 : 1, 7, 31, 217

691 : 1, 691

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 576,706,217,691, is 1.

Now, the common factors can be found like this.

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

706:2x 353

217:7x 31

691:691

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 = 60976847232/(1x2)

LCM = 60976847232/2

LCM = 30488423616

Thus, we can understand that the LCM of 576,706,217,691 is 30488423616.

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

• LCM of 323, 415, 700, 577
• LCM of 179, 715, 866, 984
• LCM of 449, 507, 134, 891
• LCM of 236, 216, 595, 376
• LCM of 978, 143, 143, 769

1. What is the LCM of 576, 706, 217, 691?

Answer: LCM of 576, 706, 217, 691 is 30488423616.

2. How to calculate the LCM of 576, 706, 217, 691?

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 576, 706, 217, 691.

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}.