Given numbers are 379,464,406,323,447

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

The LCM of 379,464,406,323,447 is 177731855952.

Find LCM of 379,464,406,323,447 with Prime Factorization

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

2 x 29 x 379 x 8 x 7 x 323 x 447 = 177731855952

Therefore, the lowest common multiple of 379,464,406,323,447 is 177731855952.

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.

379 x 464 x 406 x 323 x 447 = 10308447645216

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.

379 : 1, 379

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

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

323 : 1, 17, 19, 323

447 : 1, 3, 149, 447

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 379,464,406,323,447, is 1.

Now, the common factors can be found like this.

379:379

464:2x 2x 2x 2x 29

406:2x 7x 29

323:17x 19

447:3x 149

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 29 = 58

Therefore, the value for common factors is 58.

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 = 10308447645216/(1x58)

LCM = 10308447645216/58

LCM = 177731855952

Thus, we can understand that the LCM of 379,464,406,323,447 is 177731855952.

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

• LCM of 643, 951, 567, 365, 645
• LCM of 904, 566, 952, 136, 669
• LCM of 955, 575, 924, 263, 157
• LCM of 567, 932, 611, 578, 616
• LCM of 273, 980, 166, 791, 581

1. What is the LCM of 379, 464, 406, 323, 447?

Answer: LCM of 379, 464, 406, 323, 447 is 177731855952.

2. How to calculate the LCM of 379, 464, 406, 323, 447?

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 379, 464, 406, 323, 447.

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}.