Given numbers are 406,169,306,192,975

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

The LCM of 406,169,306,192,975 is 8398353600.

Find LCM of 406,169,306,192,975 with Prime Factorization

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

2 x 3 x 13 x 203 x 13 x 51 x 32 x 25 = 8398353600

Therefore, the lowest common multiple of 406,169,306,192,975 is 8398353600.

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.

406 x 169 x 306 x 192 x 975 = 3930429484800

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.

406 : 1, 2, 7, 14, 29, 58, 203, 406

169 : 1, 13, 169

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

192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 406,169,306,192,975, is 1.

Now, the common factors can be found like this.

406:2x 7x 29

169:13x 13

306:2x 3x 3x 17

192:2x 2x 2x 2x 2x 2x 3

975:3x 5x 5x 13

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 13 = 468

Therefore, the value for common factors is 468.

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 = 3930429484800/(1x468)

LCM = 3930429484800/468

LCM = 8398353600

Thus, we can understand that the LCM of 406,169,306,192,975 is 8398353600.

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

• LCM of 551, 931, 956, 456, 570
• LCM of 134, 407, 210, 966, 218
• LCM of 123, 442, 269, 694, 969
• LCM of 485, 697, 251, 139, 984
• LCM of 476, 342, 240, 729, 730

1. What is the LCM of 406, 169, 306, 192, 975?

Answer: LCM of 406, 169, 306, 192, 975 is 8398353600.

2. How to calculate the LCM of 406, 169, 306, 192, 975?

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 406, 169, 306, 192, 975.

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}.