Given numbers are 380,138,522,232,348

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

The LCM of 380,138,522,232,348 is 4562280.

Find LCM of 380,138,522,232,348 with Prime Factorization

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

2 x 2 x 3 x 29 x 95 x 23 x 1 x 2 x 3 = 4562280

Therefore, the lowest common multiple of 380,138,522,232,348 is 4562280.

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.

380 x 138 x 522 x 232 x 348 = 2210041428480

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.

380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

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

522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

232 : 1, 2, 4, 8, 29, 58, 116, 232

348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 380,138,522,232,348, is 2.

Now, the common factors can be found like this.

380:2x 2x 5x 19

138:2x 3x 23

522:2x 3x 3x 29

232:2x 2x 2x 29

348:2x 2x 3x 29

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

2x 2x 2x 2x 2x 3x 3x 29x 29 = 242208

Therefore, the value for common factors is 242208.

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 = 2210041428480/(2x242208)

LCM = 2210041428480/484416

LCM = 4562280

Thus, we can understand that the LCM of 380,138,522,232,348 is 4562280.

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

• LCM of 991, 785, 856, 340, 933
• LCM of 656, 290, 457, 528, 446
• LCM of 487, 358, 821, 494, 845
• LCM of 971, 126, 883, 718, 131
• LCM of 964, 384, 539, 520, 166

1. What is the LCM of 380, 138, 522, 232, 348?

Answer: LCM of 380, 138, 522, 232, 348 is 4562280.

2. How to calculate the LCM of 380, 138, 522, 232, 348?

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 380, 138, 522, 232, 348.

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}.