Given numbers are 289,169,416,339

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

The LCM of 289,169,416,339 is 529827168.

Find LCM of 289,169,416,339 with Prime Factorization

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

13 x 289 x 13 x 32 x 339 = 529827168

Therefore, the lowest common multiple of 289,169,416,339 is 529827168.

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.

289 x 169 x 416 x 339 = 6887753184

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.

289 : 1, 17, 289

169 : 1, 13, 169

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

339 : 1, 3, 113, 339

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 289,169,416,339, is 1.

Now, the common factors can be found like this.

289:17x 17

169:13x 13

416:2x 2x 2x 2x 2x 13

339:3x 113

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

13 = 13

Therefore, the value for common factors is 13.

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 = 6887753184/(1x13)

LCM = 6887753184/13

LCM = 529827168

Thus, we can understand that the LCM of 289,169,416,339 is 529827168.

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

• LCM of 477, 948, 162, 483
• LCM of 180, 298, 872, 494
• LCM of 133, 676, 216, 525
• LCM of 413, 630, 233, 498
• LCM of 148, 923, 691, 452

1. What is the LCM of 289, 169, 416, 339?

Answer: LCM of 289, 169, 416, 339 is 529827168.

2. How to calculate the LCM of 289, 169, 416, 339?

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 289, 169, 416, 339.

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}.