Given numbers are 226,268,272,294

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

The LCM of 226,268,272,294 is 302718864.

Find LCM of 226,268,272,294 with Prime Factorization

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

2 x 2 x 113 x 67 x 68 x 147 = 302718864

Therefore, the lowest common multiple of 226,268,272,294 is 302718864.

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.

226 x 268 x 272 x 294 = 4843501824

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.

226 : 1, 2, 113, 226

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

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 226,268,272,294, is 2.

Now, the common factors can be found like this.

226:2x 113

268:2x 2x 67

272:2x 2x 2x 2x 17

294:2x 3x 7x 7

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 2 = 8

Therefore, the value for common factors is 8.

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 = 4843501824/(2x8)

LCM = 4843501824/16

LCM = 302718864

Thus, we can understand that the LCM of 226,268,272,294 is 302718864.

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

• LCM of 922, 435, 282, 741
• LCM of 383, 884, 147, 864
• LCM of 670, 917, 187, 978
• LCM of 275, 427, 467, 893
• LCM of 658, 851, 571, 967

1. What is the LCM of 226, 268, 272, 294?

Answer: LCM of 226, 268, 272, 294 is 302718864.

2. How to calculate the LCM of 226, 268, 272, 294?

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 226, 268, 272, 294.

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}.