Given numbers are 349,115,828,236,339

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

The LCM of 349,115,828,236,339 is 9632881620.

Find LCM of 349,115,828,236,339 with Prime Factorization

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

2 x 2 x 3 x 23 x 349 x 5 x 3 x 59 x 113 = 9632881620

Therefore, the lowest common multiple of 349,115,828,236,339 is 9632881620.

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.

349 x 115 x 828 x 236 x 339 = 2658675327120

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.

349 : 1, 349

115 : 1, 5, 23, 115

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

236 : 1, 2, 4, 59, 118, 236

339 : 1, 3, 113, 339

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 349,115,828,236,339, is 1.

Now, the common factors can be found like this.

349:349

115:5x 23

828:2x 2x 3x 3x 23

236:2x 2x 59

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.

2x 2x 3x 23 = 276

Therefore, the value for common factors is 276.

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 = 2658675327120/(1x276)

LCM = 2658675327120/276

LCM = 9632881620

Thus, we can understand that the LCM of 349,115,828,236,339 is 9632881620.

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

• LCM of 289, 728, 502, 502, 316
• LCM of 344, 235, 690, 208, 200
• LCM of 704, 559, 548, 922, 253
• LCM of 996, 364, 494, 847, 638
• LCM of 220, 849, 394, 356, 470

1. What is the LCM of 349, 115, 828, 236, 339?

Answer: LCM of 349, 115, 828, 236, 339 is 9632881620.

2. How to calculate the LCM of 349, 115, 828, 236, 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 349, 115, 828, 236, 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}.