Given numbers are 348,576,560,969,203

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

The LCM of 348,576,560,969,203 is 188838720.

Find LCM of 348,576,560,969,203 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 7 x 29 x 1 x 12 x 5 x 323 x 1 = 188838720

Therefore, the lowest common multiple of 348,576,560,969,203 is 188838720.

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.

348 x 576 x 560 x 969 x 203 = 22080533852160

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.

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

576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

969 : 1, 3, 17, 19, 51, 57, 323, 969

203 : 1, 7, 29, 203

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 348,576,560,969,203, is 1.

Now, the common factors can be found like this.

348:2x 2x 3x 29

576:2x 2x 2x 2x 2x 2x 3x 3

560:2x 2x 2x 2x 5x 7

969:3x 17x 19

203:7x 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 2x 3x 3x 7x 29 = 116928

Therefore, the value for common factors is 116928.

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 = 22080533852160/(1x116928)

LCM = 22080533852160/116928

LCM = 188838720

Thus, we can understand that the LCM of 348,576,560,969,203 is 188838720.

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

• LCM of 475, 124, 928, 387, 692
• LCM of 708, 978, 925, 726, 468
• LCM of 132, 179, 245, 304, 648
• LCM of 857, 369, 720, 644, 230
• LCM of 357, 294, 433, 521, 690

1. What is the LCM of 348, 576, 560, 969, 203?

Answer: LCM of 348, 576, 560, 969, 203 is 188838720.

2. How to calculate the LCM of 348, 576, 560, 969, 203?

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 348, 576, 560, 969, 203.

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}.