Given numbers are 565,115,208,345

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

The LCM of 565,115,208,345 is 8108880.

Find LCM of 565,115,208,345 with Prime Factorization

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

5 x 23 x 113 x 1 x 208 x 3 = 8108880

Therefore, the lowest common multiple of 565,115,208,345 is 8108880.

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.

565 x 115 x 208 x 345 = 4662606000

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.

565 : 1, 5, 113, 565

115 : 1, 5, 23, 115

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

345 : 1, 3, 5, 15, 23, 69, 115, 345

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 565,115,208,345, is 1.

Now, the common factors can be found like this.

565:5x 113

115:5x 23

208:2x 2x 2x 2x 13

345:3x 5x 23

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

5x 5x 23 = 575

Therefore, the value for common factors is 575.

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 = 4662606000/(1x575)

LCM = 4662606000/575

LCM = 8108880

Thus, we can understand that the LCM of 565,115,208,345 is 8108880.

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

• LCM of 401, 613, 267, 202
• LCM of 421, 322, 104, 901
• LCM of 520, 271, 779, 222
• LCM of 205, 651, 380, 595
• LCM of 964, 711, 152, 961

1. What is the LCM of 565, 115, 208, 345?

Answer: LCM of 565, 115, 208, 345 is 8108880.

2. How to calculate the LCM of 565, 115, 208, 345?

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 565, 115, 208, 345.

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}.