Given numbers are 326,844,612,576,368

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

The LCM of 326,844,612,576,368 is 7745853888.

Find LCM of 326,844,612,576,368 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 3 x 163 x 211 x 17 x 4 x 23 = 7745853888

Therefore, the lowest common multiple of 326,844,612,576,368 is 7745853888.

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 844 x 612 x 576 x 368 = 35692894715904

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

844 : 1, 2, 4, 211, 422, 844

612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

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

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 326,844,612,576,368, is 2.

Now, the common factors can be found like this.

326:2x 163

844:2x 2x 211

612:2x 2x 3x 3x 17

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

368:2x 2x 2x 2x 23

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 2x 2x 2x 2x 2x 3x 3 = 2304

Therefore, the value for common factors is 2304.

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 = 35692894715904/(2x2304)

LCM = 35692894715904/4608

LCM = 7745853888

Thus, we can understand that the LCM of 326,844,612,576,368 is 7745853888.

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

• LCM of 827, 330, 149, 554, 628
• LCM of 569, 181, 975, 960, 257
• LCM of 297, 836, 762, 603, 684
• LCM of 927, 114, 365, 140, 881
• LCM of 996, 141, 710, 445, 849

1. What is the LCM of 326, 844, 612, 576, 368?

Answer: LCM of 326, 844, 612, 576, 368 is 7745853888.

2. How to calculate the LCM of 326, 844, 612, 576, 368?

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, 844, 612, 576, 368.

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}.