Given numbers are 290,326,319,446

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

The LCM of 290,326,319,446 is 115953310.

Find LCM of 290,326,319,446 with Prime Factorization

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

2 x 29 x 5 x 163 x 11 x 223 = 115953310

Therefore, the lowest common multiple of 290,326,319,446 is 115953310.

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.

290 x 326 x 319 x 446 = 13450583960

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.

290 : 1, 2, 5, 10, 29, 58, 145, 290

326 : 1, 2, 163, 326

319 : 1, 11, 29, 319

446 : 1, 2, 223, 446

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 290,326,319,446, is 1.

Now, the common factors can be found like this.

290:2x 5x 29

326:2x 163

319:11x 29

446:2x 223

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 29 = 116

Therefore, the value for common factors is 116.

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 = 13450583960/(1x116)

LCM = 13450583960/116

LCM = 115953310

Thus, we can understand that the LCM of 290,326,319,446 is 115953310.

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

• LCM of 787, 242, 426, 856
• LCM of 420, 162, 607, 444
• LCM of 975, 683, 376, 539
• LCM of 243, 404, 679, 704
• LCM of 983, 731, 960, 463

1. What is the LCM of 290, 326, 319, 446?

Answer: LCM of 290, 326, 319, 446 is 115953310.

2. How to calculate the LCM of 290, 326, 319, 446?

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 290, 326, 319, 446.

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}.