Given numbers are 576,660,440,946

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

The LCM of 576,660,440,946 is 1362240.

Find LCM of 576,660,440,946 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 11 x 24 x 1 x 1 x 43 = 1362240

Therefore, the lowest common multiple of 576,660,440,946 is 1362240.

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.

576 x 660 x 440 x 946 = 158237798400

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.

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

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

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

946 : 1, 2, 11, 22, 43, 86, 473, 946

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 576,660,440,946, is 2.

Now, the common factors can be found like this.

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

660:2x 2x 3x 5x 11

440:2x 2x 2x 5x 11

946:2x 11x 43

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 5x 11x 11 = 58080

Therefore, the value for common factors is 58080.

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 = 158237798400/(2x58080)

LCM = 158237798400/116160

LCM = 1362240

Thus, we can understand that the LCM of 576,660,440,946 is 1362240.

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

• LCM of 770, 892, 237, 965
• LCM of 608, 335, 256, 693
• LCM of 760, 685, 932, 958
• LCM of 541, 429, 565, 320
• LCM of 267, 685, 650, 354

1. What is the LCM of 576, 660, 440, 946?

Answer: LCM of 576, 660, 440, 946 is 1362240.

2. How to calculate the LCM of 576, 660, 440, 946?

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 576, 660, 440, 946.

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}.