Given numbers are 235,508,368,217

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

The LCM of 235,508,368,217 is 2383302320.

Find LCM of 235,508,368,217 with Prime Factorization

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

2 x 2 x 235 x 127 x 92 x 217 = 2383302320

Therefore, the lowest common multiple of 235,508,368,217 is 2383302320.

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.

235 x 508 x 368 x 217 = 9533209280

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.

235 : 1, 5, 47, 235

508 : 1, 2, 4, 127, 254, 508

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

217 : 1, 7, 31, 217

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 235,508,368,217, is 1.

Now, the common factors can be found like this.

235:5x 47

508:2x 2x 127

368:2x 2x 2x 2x 23

217:7x 31

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 9533209280/(1x4)

LCM = 9533209280/4

LCM = 2383302320

Thus, we can understand that the LCM of 235,508,368,217 is 2383302320.

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

• LCM of 116, 915, 398, 437
• LCM of 161, 749, 950, 844
• LCM of 537, 228, 160, 801
• LCM of 885, 953, 757, 487
• LCM of 108, 901, 940, 562

1. What is the LCM of 235, 508, 368, 217?

Answer: LCM of 235, 508, 368, 217 is 2383302320.

2. How to calculate the LCM of 235, 508, 368, 217?

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 235, 508, 368, 217.

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}.