Given numbers are 293,268,268,217

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

The LCM of 293,268,268,217 is 17039708.

Find LCM of 293,268,268,217 with Prime Factorization

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

2 x 2 x 67 x 293 x 1 x 1 x 217 = 17039708

Therefore, the lowest common multiple of 293,268,268,217 is 17039708.

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 268 x 268 x 217 = 4566641744

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

268 : 1, 2, 4, 67, 134, 268

268 : 1, 2, 4, 67, 134, 268

217 : 1, 7, 31, 217

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 293,268,268,217, is 1.

Now, the common factors can be found like this.

293:293

268:2x 2x 67

268:2x 2x 67

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 2x 67 = 268

Therefore, the value for common factors is 268.

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 = 4566641744/(1x268)

LCM = 4566641744/268

LCM = 17039708

Thus, we can understand that the LCM of 293,268,268,217 is 17039708.

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

• LCM of 184, 568, 579, 951
• LCM of 978, 468, 980, 601
• LCM of 324, 636, 296, 751
• LCM of 766, 750, 635, 848
• LCM of 536, 210, 934, 254

1. What is the LCM of 293, 268, 268, 217?

Answer: LCM of 293, 268, 268, 217 is 17039708.

2. How to calculate the LCM of 293, 268, 268, 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 293, 268, 268, 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}.