Given numbers are 293,575,517,128,345

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

The LCM of 293,575,517,128,345 is 33447004800.

Find LCM of 293,575,517,128,345 with Prime Factorization

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

5 x 23 x 293 x 5 x 517 x 128 x 3 = 33447004800

Therefore, the lowest common multiple of 293,575,517,128,345 is 33447004800.

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.

293 x 575 x 517 x 128 x 345 = 3846405552000

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.

293 : 1, 293

575 : 1, 5, 23, 25, 115, 575

517 : 1, 11, 47, 517

128 : 1, 2, 4, 8, 16, 32, 64, 128

345 : 1, 3, 5, 15, 23, 69, 115, 345

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 293,575,517,128,345, is 1.

Now, the common factors can be found like this.

293:293

575:5x 5x 23

517:11x 47

128:2x 2x 2x 2x 2x 2x 2

345:3x 5x 23

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

5x 23 = 115

Therefore, the value for common factors is 115.

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 = 3846405552000/(1x115)

LCM = 3846405552000/115

LCM = 33447004800

Thus, we can understand that the LCM of 293,575,517,128,345 is 33447004800.

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

• LCM of 339, 151, 384, 432, 876
• LCM of 891, 635, 198, 294, 230
• LCM of 808, 405, 925, 347, 290
• LCM of 780, 900, 761, 860, 894
• LCM of 338, 976, 903, 837, 384

1. What is the LCM of 293, 575, 517, 128, 345?

Answer: LCM of 293, 575, 517, 128, 345 is 33447004800.

2. How to calculate the LCM of 293, 575, 517, 128, 345?

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 293, 575, 517, 128, 345.

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}.