Given numbers are 414,996,354,214,341

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

The LCM of 414,996,354,214,341 is 147944422692.

Find LCM of 414,996,354,214,341 with Prime Factorization

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

2 x 3 x 69 x 166 x 59 x 107 x 341 = 147944422692

Therefore, the lowest common multiple of 414,996,354,214,341 is 147944422692.

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.

414 x 996 x 354 x 214 x 341 = 10651998433824

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.

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

996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

354 : 1, 2, 3, 6, 59, 118, 177, 354

214 : 1, 2, 107, 214

341 : 1, 11, 31, 341

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 414,996,354,214,341, is 1.

Now, the common factors can be found like this.

414:2x 3x 3x 23

996:2x 2x 3x 83

354:2x 3x 59

214:2x 107

341:11x 31

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 2x 3x 3 = 72

Therefore, the value for common factors is 72.

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 = 10651998433824/(1x72)

LCM = 10651998433824/72

LCM = 147944422692

Thus, we can understand that the LCM of 414,996,354,214,341 is 147944422692.

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

• LCM of 554, 866, 943, 211, 154
• LCM of 896, 468, 601, 115, 979
• LCM of 778, 538, 272, 400, 650
• LCM of 450, 470, 731, 151, 607
• LCM of 650, 309, 176, 558, 880

1. What is the LCM of 414, 996, 354, 214, 341?

Answer: LCM of 414, 996, 354, 214, 341 is 147944422692.

2. How to calculate the LCM of 414, 996, 354, 214, 341?

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 414, 996, 354, 214, 341.

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}.