Given numbers are 338,339,348,407

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

The LCM of 338,339,348,407 is 2704822692.

Find LCM of 338,339,348,407 with Prime Factorization

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

2 x 3 x 169 x 113 x 58 x 407 = 2704822692

Therefore, the lowest common multiple of 338,339,348,407 is 2704822692.

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.

338 x 339 x 348 x 407 = 16228936152

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.

338 : 1, 2, 13, 26, 169, 338

339 : 1, 3, 113, 339

348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

407 : 1, 11, 37, 407

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 338,339,348,407, is 1.

Now, the common factors can be found like this.

338:2x 13x 13

339:3x 113

348:2x 2x 3x 29

407:11x 37

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 16228936152/(1x6)

LCM = 16228936152/6

LCM = 2704822692

Thus, we can understand that the LCM of 338,339,348,407 is 2704822692.

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

• LCM of 312, 869, 287, 543
• LCM of 114, 660, 164, 558
• LCM of 559, 521, 579, 134
• LCM of 781, 617, 568, 570
• LCM of 886, 933, 674, 515

1. What is the LCM of 338, 339, 348, 407?

Answer: LCM of 338, 339, 348, 407 is 2704822692.

2. How to calculate the LCM of 338, 339, 348, 407?

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 338, 339, 348, 407.

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}.