Given numbers are 393,288,168,771,660

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

The LCM of 393,288,168,771,660 is 3732996960.

Find LCM of 393,288,168,771,660 with Prime Factorization

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

2 x 2 x 2 x 3 x 131 x 12 x 7 x 257 x 55 = 3732996960

Therefore, the lowest common multiple of 393,288,168,771,660 is 3732996960.

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.

393 x 288 x 168 x 771 x 660 = 9675928120320

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.

393 : 1, 3, 131, 393

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

168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

771 : 1, 3, 257, 771

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 393,288,168,771,660, is 3.

Now, the common factors can be found like this.

393:3x 131

288:2x 2x 2x 2x 2x 3x 3

168:2x 2x 2x 3x 7

771:3x 257

660:2x 2x 3x 5x 11

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 3x 3x 3 = 864

Therefore, the value for common factors is 864.

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 = 9675928120320/(3x864)

LCM = 9675928120320/2592

LCM = 3732996960

Thus, we can understand that the LCM of 393,288,168,771,660 is 3732996960.

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

• LCM of 845, 557, 483, 125, 687
• LCM of 772, 658, 200, 792, 321
• LCM of 693, 515, 807, 169, 852
• LCM of 456, 246, 560, 686, 441
• LCM of 672, 887, 845, 346, 558

1. What is the LCM of 393, 288, 168, 771, 660?

Answer: LCM of 393, 288, 168, 771, 660 is 3732996960.

2. How to calculate the LCM of 393, 288, 168, 771, 660?

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 393, 288, 168, 771, 660.

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}.