Given numbers are 397,279,293,348,423

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

The LCM of 397,279,293,348,423 is 176936803668.

Find LCM of 397,279,293,348,423 with Prime Factorization

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

3 x 3 x 397 x 31 x 293 x 116 x 47 = 176936803668

Therefore, the lowest common multiple of 397,279,293,348,423 is 176936803668.

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.

397 x 279 x 293 x 348 x 423 = 4777293699036

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.

397 : 1, 397

279 : 1, 3, 9, 31, 93, 279

293 : 1, 293

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

423 : 1, 3, 9, 47, 141, 423

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 397,279,293,348,423, is 1.

Now, the common factors can be found like this.

397:397

279:3x 3x 31

293:293

348:2x 2x 3x 29

423:3x 3x 47

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

3x 3x 3 = 27

Therefore, the value for common factors is 27.

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 = 4777293699036/(1x27)

LCM = 4777293699036/27

LCM = 176936803668

Thus, we can understand that the LCM of 397,279,293,348,423 is 176936803668.

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

• LCM of 879, 616, 917, 189, 783
• LCM of 692, 407, 132, 276, 955
• LCM of 483, 123, 839, 668, 183
• LCM of 159, 541, 583, 652, 524
• LCM of 223, 139, 229, 240, 670

1. What is the LCM of 397, 279, 293, 348, 423?

Answer: LCM of 397, 279, 293, 348, 423 is 176936803668.

2. How to calculate the LCM of 397, 279, 293, 348, 423?

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 397, 279, 293, 348, 423.

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}.