Given numbers are 326,584,816,217

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

The LCM of 326,584,816,217 is 2106979728.

Find LCM of 326,584,816,217 with Prime Factorization

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

2 x 2 x 2 x 163 x 73 x 102 x 217 = 2106979728

Therefore, the lowest common multiple of 326,584,816,217 is 2106979728.

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.

326 x 584 x 816 x 217 = 33711675648

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.

326 : 1, 2, 163, 326

584 : 1, 2, 4, 8, 73, 146, 292, 584

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

217 : 1, 7, 31, 217

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 326,584,816,217, is 1.

Now, the common factors can be found like this.

326:2x 163

584:2x 2x 2x 73

816:2x 2x 2x 2x 3x 17

217:7x 31

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 2 = 16

Therefore, the value for common factors is 16.

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 = 33711675648/(1x16)

LCM = 33711675648/16

LCM = 2106979728

Thus, we can understand that the LCM of 326,584,816,217 is 2106979728.

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

• LCM of 858, 973, 275, 280
• LCM of 705, 779, 779, 989
• LCM of 723, 538, 912, 861
• LCM of 941, 660, 789, 117
• LCM of 255, 797, 312, 341

1. What is the LCM of 326, 584, 816, 217?

Answer: LCM of 326, 584, 816, 217 is 2106979728.

2. How to calculate the LCM of 326, 584, 816, 217?

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 326, 584, 816, 217.

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}.