Given numbers are 464,798,306,104,323

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

The LCM of 464,798,306,104,323 is 122745168.

Find LCM of 464,798,306,104,323 with Prime Factorization

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

2 x 2 x 2 x 3 x 17 x 19 x 58 x 7 x 3 x 13 x 1 = 122745168

Therefore, the lowest common multiple of 464,798,306,104,323 is 122745168.

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 798 x 306 x 104 x 323 = 3806082169344

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

798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

104 : 1, 2, 4, 8, 13, 26, 52, 104

323 : 1, 17, 19, 323

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 464,798,306,104,323, is 1.

Now, the common factors can be found like this.

464:2x 2x 2x 2x 29

798:2x 3x 7x 19

306:2x 3x 3x 17

104:2x 2x 2x 13

323:17x 19

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 17x 19 = 31008

Therefore, the value for common factors is 31008.

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 = 3806082169344/(1x31008)

LCM = 3806082169344/31008

LCM = 122745168

Thus, we can understand that the LCM of 464,798,306,104,323 is 122745168.

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

• LCM of 398, 496, 121, 203, 798
• LCM of 521, 494, 560, 978, 172
• LCM of 539, 184, 241, 544, 485
• LCM of 550, 873, 926, 969, 221
• LCM of 215, 544, 175, 259, 499

1. What is the LCM of 464, 798, 306, 104, 323?

Answer: LCM of 464, 798, 306, 104, 323 is 122745168.

2. How to calculate the LCM of 464, 798, 306, 104, 323?

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, 798, 306, 104, 323.

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}.