Given numbers are 238,216,285,705,411

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

The LCM of 238,216,285,705,411 is 15723265320.

Find LCM of 238,216,285,705,411 with Prime Factorization

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

2 x 3 x 5 x 119 x 36 x 19 x 47 x 137 = 15723265320

Therefore, the lowest common multiple of 238,216,285,705,411 is 15723265320.

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.

238 x 216 x 285 x 705 x 411 = 4245281636400

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.

238 : 1, 2, 7, 14, 17, 34, 119, 238

216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

285 : 1, 3, 5, 15, 19, 57, 95, 285

705 : 1, 3, 5, 15, 47, 141, 235, 705

411 : 1, 3, 137, 411

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 238,216,285,705,411, is 1.

Now, the common factors can be found like this.

238:2x 7x 17

216:2x 2x 2x 3x 3x 3

285:3x 5x 19

705:3x 5x 47

411:3x 137

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

2x 3x 3x 3x 5 = 270

Therefore, the value for common factors is 270.

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 = 4245281636400/(1x270)

LCM = 4245281636400/270

LCM = 15723265320

Thus, we can understand that the LCM of 238,216,285,705,411 is 15723265320.

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

• LCM of 788, 637, 999, 788, 226
• LCM of 597, 376, 856, 597, 469
• LCM of 562, 570, 935, 919, 309
• LCM of 338, 698, 179, 922, 293
• LCM of 123, 733, 283, 617, 647

1. What is the LCM of 238, 216, 285, 705, 411?

Answer: LCM of 238, 216, 285, 705, 411 is 15723265320.

2. How to calculate the LCM of 238, 216, 285, 705, 411?

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 238, 216, 285, 705, 411.

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}.