Given numbers are 390,117,330,456,221

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

The LCM of 390,117,330,456,221 is 16628040.

Find LCM of 390,117,330,456,221 with Prime Factorization

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

2 x 3 x 5 x 13 x 1 x 3 x 11 x 76 x 17 = 16628040

Therefore, the lowest common multiple of 390,117,330,456,221 is 16628040.

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.

390 x 117 x 330 x 456 x 221 = 1517474930400

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.

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

117 : 1, 3, 9, 13, 39, 117

330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

221 : 1, 13, 17, 221

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 390,117,330,456,221, is 1.

Now, the common factors can be found like this.

390:2x 3x 5x 13

117:3x 3x 13

330:2x 3x 5x 11

456:2x 2x 2x 3x 19

221:13x 17

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 3x 3x 3x 5x 13x 13 = 91260

Therefore, the value for common factors is 91260.

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 = 1517474930400/(1x91260)

LCM = 1517474930400/91260

LCM = 16628040

Thus, we can understand that the LCM of 390,117,330,456,221 is 16628040.

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

• LCM of 987, 773, 121, 506, 946
• LCM of 828, 478, 268, 237, 778
• LCM of 380, 542, 987, 808, 915
• LCM of 812, 584, 765, 150, 220
• LCM of 801, 648, 430, 663, 482

1. What is the LCM of 390, 117, 330, 456, 221?

Answer: LCM of 390, 117, 330, 456, 221 is 16628040.

2. How to calculate the LCM of 390, 117, 330, 456, 221?

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 390, 117, 330, 456, 221.

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}.