Given numbers are 355,138,391,409

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

The LCM of 355,138,391,409 is 340627470.

Find LCM of 355,138,391,409 with Prime Factorization

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

23 x 355 x 6 x 17 x 409 = 340627470

Therefore, the lowest common multiple of 355,138,391,409 is 340627470.

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.

355 x 138 x 391 x 409 = 7834431810

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.

355 : 1, 5, 71, 355

138 : 1, 2, 3, 6, 23, 46, 69, 138

391 : 1, 17, 23, 391

409 : 1, 409

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 355,138,391,409, is 1.

Now, the common factors can be found like this.

355:5x 71

138:2x 3x 23

391:17x 23

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.

23 = 23

Therefore, the value for common factors is 23.

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 = 7834431810/(1x23)

LCM = 7834431810/23

LCM = 340627470

Thus, we can understand that the LCM of 355,138,391,409 is 340627470.

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

• LCM of 724, 749, 918, 979
• LCM of 408, 776, 627, 434
• LCM of 372, 218, 383, 151
• LCM of 618, 669, 969, 188
• LCM of 980, 323, 387, 592

1. What is the LCM of 355, 138, 391, 409?

Answer: LCM of 355, 138, 391, 409 is 340627470.

2. How to calculate the LCM of 355, 138, 391, 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 355, 138, 391, 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}.