Given numbers are 368,221,304,193,920

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

The LCM of 368,221,304,193,920 is 1491148880.

Find LCM of 368,221,304,193,920 with Prime Factorization

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

2 x 2 x 2 x 2 x 23 x 1 x 221 x 19 x 193 x 5 = 1491148880

Therefore, the lowest common multiple of 368,221,304,193,920 is 1491148880.

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.

368 x 221 x 304 x 193 x 920 = 4389942302720

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.

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

221 : 1, 13, 17, 221

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

193 : 1, 193

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 368,221,304,193,920, is 1.

Now, the common factors can be found like this.

368:2x 2x 2x 2x 23

221:13x 17

304:2x 2x 2x 2x 19

193:193

920:2x 2x 2x 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.

2x 2x 2x 2x 2x 2x 2x 23 = 2944

Therefore, the value for common factors is 2944.

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 = 4389942302720/(1x2944)

LCM = 4389942302720/2944

LCM = 1491148880

Thus, we can understand that the LCM of 368,221,304,193,920 is 1491148880.

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

• LCM of 283, 820, 233, 833, 529
• LCM of 958, 371, 952, 772, 848
• LCM of 647, 425, 745, 867, 411
• LCM of 133, 121, 932, 663, 756
• LCM of 182, 606, 847, 541, 620

1. What is the LCM of 368, 221, 304, 193, 920?

Answer: LCM of 368, 221, 304, 193, 920 is 1491148880.

2. How to calculate the LCM of 368, 221, 304, 193, 920?

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 368, 221, 304, 193, 920.

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}.