Given numbers are 336,921,214,306,466

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

The LCM of 336,921,214,306,466 is 131155808112.

Find LCM of 336,921,214,306,466 with Prime Factorization

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

2 x 3 x 56 x 307 x 107 x 51 x 233 = 131155808112

Therefore, the lowest common multiple of 336,921,214,306,466 is 131155808112.

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.

336 x 921 x 214 x 306 x 466 = 9443218184064

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.

336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

921 : 1, 3, 307, 921

214 : 1, 2, 107, 214

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

466 : 1, 2, 233, 466

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 336,921,214,306,466, is 1.

Now, the common factors can be found like this.

336:2x 2x 2x 2x 3x 7

921:3x 307

214:2x 107

306:2x 3x 3x 17

466:2x 233

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 = 9443218184064/(1x72)

LCM = 9443218184064/72

LCM = 131155808112

Thus, we can understand that the LCM of 336,921,214,306,466 is 131155808112.

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

• LCM of 117, 720, 740, 256, 203
• LCM of 650, 884, 390, 892, 849
• LCM of 965, 751, 196, 261, 669
• LCM of 823, 908, 789, 270, 290
• LCM of 175, 808, 665, 671, 687

1. What is the LCM of 336, 921, 214, 306, 466?

Answer: LCM of 336, 921, 214, 306, 466 is 131155808112.

2. How to calculate the LCM of 336, 921, 214, 306, 466?

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 336, 921, 214, 306, 466.

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}.