Given numbers are 464,585,471,902,930

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

The LCM of 464,585,471,902,930 is 595815414480.

Find LCM of 464,585,471,902,930 with Prime Factorization

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

2 x 3 x 5 x 232 x 39 x 157 x 451 x 31 = 595815414480

Therefore, the lowest common multiple of 464,585,471,902,930 is 595815414480.

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.

464 x 585 x 471 x 902 x 930 = 107246774606400

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.

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

471 : 1, 3, 157, 471

902 : 1, 2, 11, 22, 41, 82, 451, 902

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 464,585,471,902,930, is 1.

Now, the common factors can be found like this.

464:2x 2x 2x 2x 29

585:3x 3x 5x 13

471:3x 157

902:2x 11x 41

930:2x 3x 5x 31

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 5 = 180

Therefore, the value for common factors is 180.

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 = 107246774606400/(1x180)

LCM = 107246774606400/180

LCM = 595815414480

Thus, we can understand that the LCM of 464,585,471,902,930 is 595815414480.

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

• LCM of 323, 596, 155, 609, 836
• LCM of 835, 696, 867, 866, 987
• LCM of 321, 664, 687, 431, 638
• LCM of 194, 754, 988, 358, 223
• LCM of 682, 182, 916, 114, 167

1. What is the LCM of 464, 585, 471, 902, 930?

Answer: LCM of 464, 585, 471, 902, 930 is 595815414480.

2. How to calculate the LCM of 464, 585, 471, 902, 930?

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 464, 585, 471, 902, 930.

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}.