Given numbers are 339,192,390,414

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

The LCM of 339,192,390,414 is 97306560.

Find LCM of 339,192,390,414 with Prime Factorization

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

2 x 3 x 113 x 32 x 65 x 69 = 97306560

Therefore, the lowest common multiple of 339,192,390,414 is 97306560.

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.

339 x 192 x 390 x 414 = 10509108480

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.

339 : 1, 3, 113, 339

192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 339,192,390,414, is 3.

Now, the common factors can be found like this.

339:3x 113

192:2x 2x 2x 2x 2x 2x 3

390:2x 3x 5x 13

414:2x 3x 3x 23

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 3 = 36

Therefore, the value for common factors is 36.

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 = 10509108480/(3x36)

LCM = 10509108480/108

LCM = 97306560

Thus, we can understand that the LCM of 339,192,390,414 is 97306560.

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

• LCM of 508, 798, 447, 155
• LCM of 708, 955, 465, 759
• LCM of 962, 606, 336, 425
• LCM of 861, 123, 330, 478
• LCM of 895, 910, 945, 955

1. What is the LCM of 339, 192, 390, 414?

Answer: LCM of 339, 192, 390, 414 is 97306560.

2. How to calculate the LCM of 339, 192, 390, 414?

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 339, 192, 390, 414.

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}.