Given numbers are 346,676,941,214

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

The LCM of 346,676,941,214 is 11775143276.

Find LCM of 346,676,941,214 with Prime Factorization

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

2 x 173 x 338 x 941 x 107 = 11775143276

Therefore, the lowest common multiple of 346,676,941,214 is 11775143276.

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.

346 x 676 x 941 x 214 = 47100573104

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.

346 : 1, 2, 173, 346

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

941 : 1, 941

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 346,676,941,214, is 1.

Now, the common factors can be found like this.

346:2x 173

676:2x 2x 13x 13

941:941

214:2x 107

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 47100573104/(1x4)

LCM = 47100573104/4

LCM = 11775143276

Thus, we can understand that the LCM of 346,676,941,214 is 11775143276.

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

• LCM of 304, 827, 805, 659
• LCM of 520, 764, 959, 538
• LCM of 580, 948, 750, 831
• LCM of 946, 830, 185, 707
• LCM of 830, 872, 147, 887

1. What is the LCM of 346, 676, 941, 214?

Answer: LCM of 346, 676, 941, 214 is 11775143276.

2. How to calculate the LCM of 346, 676, 941, 214?

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 346, 676, 941, 214.

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}.