Given numbers are 311,672,414,374

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

The LCM of 311,672,414,374 is 2696623776.

Find LCM of 311,672,414,374 with Prime Factorization

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

2 x 3 x 311 x 112 x 69 x 187 = 2696623776

Therefore, the lowest common multiple of 311,672,414,374 is 2696623776.

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.

311 x 672 x 414 x 374 = 32359485312

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.

311 : 1, 311

672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

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

374 : 1, 2, 11, 17, 22, 34, 187, 374

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 311,672,414,374, is 1.

Now, the common factors can be found like this.

311:311

672:2x 2x 2x 2x 2x 3x 7

414:2x 3x 3x 23

374:2x 11x 17

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 3 = 12

Therefore, the value for common factors is 12.

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 = 32359485312/(1x12)

LCM = 32359485312/12

LCM = 2696623776

Thus, we can understand that the LCM of 311,672,414,374 is 2696623776.

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

• LCM of 226, 924, 347, 596
• LCM of 657, 463, 353, 322
• LCM of 711, 533, 447, 309
• LCM of 567, 665, 638, 298
• LCM of 238, 488, 641, 794

1. What is the LCM of 311, 672, 414, 374?

Answer: LCM of 311, 672, 414, 374 is 2696623776.

2. How to calculate the LCM of 311, 672, 414, 374?

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 311, 672, 414, 374.

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}.