Given numbers are 361,596,387,627,341

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

The LCM of 361,596,387,627,341 is 28393491852.

Find LCM of 361,596,387,627,341 with Prime Factorization

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

3 x 11 x 19 x 1 x 596 x 129 x 19 x 31 = 28393491852

Therefore, the lowest common multiple of 361,596,387,627,341 is 28393491852.

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.

361 x 596 x 387 x 627 x 341 = 17802719391204

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.

361 : 1, 19, 361

596 : 1, 2, 4, 149, 298, 596

387 : 1, 3, 9, 43, 129, 387

627 : 1, 3, 11, 19, 33, 57, 209, 627

341 : 1, 11, 31, 341

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 361,596,387,627,341, is 1.

Now, the common factors can be found like this.

361:19x 19

596:2x 2x 149

387:3x 3x 43

627:3x 11x 19

341:11x 31

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

3x 11x 19 = 627

Therefore, the value for common factors is 627.

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 = 17802719391204/(1x627)

LCM = 17802719391204/627

LCM = 28393491852

Thus, we can understand that the LCM of 361,596,387,627,341 is 28393491852.

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

• LCM of 183, 280, 189, 358, 367
• LCM of 296, 993, 449, 703, 535
• LCM of 920, 565, 433, 847, 424
• LCM of 412, 878, 275, 700, 450
• LCM of 628, 877, 909, 323, 308

1. What is the LCM of 361, 596, 387, 627, 341?

Answer: LCM of 361, 596, 387, 627, 341 is 28393491852.

2. How to calculate the LCM of 361, 596, 387, 627, 341?

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 361, 596, 387, 627, 341.

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}.