Given numbers are 107,290,342,409

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

The LCM of 107,290,342,409 is 2170207170.

Find LCM of 107,290,342,409 with Prime Factorization

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

2 x 107 x 145 x 171 x 409 = 2170207170

Therefore, the lowest common multiple of 107,290,342,409 is 2170207170.

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.

107 x 290 x 342 x 409 = 4340414340

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.

107 : 1, 107

290 : 1, 2, 5, 10, 29, 58, 145, 290

342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

409 : 1, 409

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 107,290,342,409, is 1.

Now, the common factors can be found like this.

107:107

290:2x 5x 29

342:2x 3x 3x 19

409:409

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

2 = 2

Therefore, the value for common factors is 2.

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 = 4340414340/(1x2)

LCM = 4340414340/2

LCM = 2170207170

Thus, we can understand that the LCM of 107,290,342,409 is 2170207170.

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

• LCM of 345, 676, 178, 573
• LCM of 437, 417, 574, 779
• LCM of 493, 123, 835, 946
• LCM of 790, 192, 444, 274
• LCM of 383, 664, 323, 893

1. What is the LCM of 107, 290, 342, 409?

Answer: LCM of 107, 290, 342, 409 is 2170207170.

2. How to calculate the LCM of 107, 290, 342, 409?

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 107, 290, 342, 409.

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}.