Given numbers are 343,920,214,107

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

The LCM of 343,920,214,107 is 33764920.

Find LCM of 343,920,214,107 with Prime Factorization

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

2 x 107 x 343 x 460 x 1 x 1 = 33764920

Therefore, the lowest common multiple of 343,920,214,107 is 33764920.

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.

343 x 920 x 214 x 107 = 7225692880

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.

343 : 1, 7, 49, 343

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

214 : 1, 2, 107, 214

107 : 1, 107

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 343,920,214,107, is 1.

Now, the common factors can be found like this.

343:7x 7x 7

920:2x 2x 2x 5x 23

214:2x 107

107:107

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

2x 107 = 214

Therefore, the value for common factors is 214.

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 = 7225692880/(1x214)

LCM = 7225692880/214

LCM = 33764920

Thus, we can understand that the LCM of 343,920,214,107 is 33764920.

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

• LCM of 662, 187, 262, 294
• LCM of 495, 315, 771, 712
• LCM of 355, 492, 497, 277
• LCM of 534, 632, 735, 204
• LCM of 272, 928, 555, 738

1. What is the LCM of 343, 920, 214, 107?

Answer: LCM of 343, 920, 214, 107 is 33764920.

2. How to calculate the LCM of 343, 920, 214, 107?

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 343, 920, 214, 107.

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}.