Given numbers are 346,206,684,977

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

The LCM of 346,206,684,977 is 11907867492.

Find LCM of 346,206,684,977 with Prime Factorization

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

2 x 173 x 103 x 342 x 977 = 11907867492

Therefore, the lowest common multiple of 346,206,684,977 is 11907867492.

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 206 x 684 x 977 = 47631469968

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

206 : 1, 2, 103, 206

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

977 : 1, 977

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 346,206,684,977, is 1.

Now, the common factors can be found like this.

346:2x 173

206:2x 103

684:2x 2x 3x 3x 19

977:977

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 = 47631469968/(1x4)

LCM = 47631469968/4

LCM = 11907867492

Thus, we can understand that the LCM of 346,206,684,977 is 11907867492.

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

• LCM of 171, 406, 753, 982
• LCM of 707, 131, 700, 257
• LCM of 312, 633, 455, 206
• LCM of 677, 502, 331, 954
• LCM of 999, 831, 670, 536

1. What is the LCM of 346, 206, 684, 977?

Answer: LCM of 346, 206, 684, 977 is 11907867492.

2. How to calculate the LCM of 346, 206, 684, 977?

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, 206, 684, 977.

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}.