Given numbers are 380,193,528,949,352

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

The LCM of 380,193,528,949,352 is 18374310240.

Find LCM of 380,193,528,949,352 with Prime Factorization

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

2 x 2 x 2 x 2 x 11 x 95 x 193 x 3 x 949 x 2 = 18374310240

Therefore, the lowest common multiple of 380,193,528,949,352 is 18374310240.

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 193 x 528 x 949 x 352 = 12935514408960

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

193 : 1, 193

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

949 : 1, 13, 73, 949

352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 380,193,528,949,352, is 1.

Now, the common factors can be found like this.

380:2x 2x 5x 19

193:193

528:2x 2x 2x 2x 3x 11

949:13x 73

352:2x 2x 2x 2x 2x 11

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 2x 11 = 704

Therefore, the value for common factors is 704.

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 = 12935514408960/(1x704)

LCM = 12935514408960/704

LCM = 18374310240

Thus, we can understand that the LCM of 380,193,528,949,352 is 18374310240.

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

• LCM of 364, 401, 680, 326, 512
• LCM of 335, 518, 786, 349, 505
• LCM of 400, 881, 284, 913, 272
• LCM of 420, 628, 802, 732, 105
• LCM of 883, 852, 637, 730, 844

1. What is the LCM of 380, 193, 528, 949, 352?

Answer: LCM of 380, 193, 528, 949, 352 is 18374310240.

2. How to calculate the LCM of 380, 193, 528, 949, 352?

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, 193, 528, 949, 352.

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}.