Given numbers are 920,132,460,930,812

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

The LCM of 920,132,460,930,812 is 191055480.

Find LCM of 920,132,460,930,812 with Prime Factorization

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

2 x 2 x 3 x 5 x 23 x 1 x 11 x 2 x 31 x 203 = 191055480

Therefore, the lowest common multiple of 920,132,460,930,812 is 191055480.

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.

920 x 132 x 460 x 930 x 812 = 42185049984000

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.

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

132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 920,132,460,930,812, is 2.

Now, the common factors can be found like this.

920:2x 2x 2x 5x 23

132:2x 2x 3x 11

460:2x 2x 5x 23

930:2x 3x 5x 31

812:2x 2x 7x 29

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 3x 5x 5x 23 = 110400

Therefore, the value for common factors is 110400.

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 = 42185049984000/(2x110400)

LCM = 42185049984000/220800

LCM = 191055480

Thus, we can understand that the LCM of 920,132,460,930,812 is 191055480.

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

• LCM of 605, 445, 741, 983, 433
• LCM of 849, 178, 502, 581, 729
• LCM of 492, 370, 200, 558, 762
• LCM of 327, 270, 980, 200, 544
• LCM of 940, 285, 485, 436, 121

1. What is the LCM of 920, 132, 460, 930, 812?

Answer: LCM of 920, 132, 460, 930, 812 is 191055480.

2. How to calculate the LCM of 920, 132, 460, 930, 812?

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 920, 132, 460, 930, 812.

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}.