Given numbers are 338,326,266,272

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

The LCM of 338,326,266,272 is 996540272.

Find LCM of 338,326,266,272 with Prime Factorization

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

2 x 169 x 163 x 133 x 136 = 996540272

Therefore, the lowest common multiple of 338,326,266,272 is 996540272.

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.

338 x 326 x 266 x 272 = 7972322176

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.

338 : 1, 2, 13, 26, 169, 338

326 : 1, 2, 163, 326

266 : 1, 2, 7, 14, 19, 38, 133, 266

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 338,326,266,272, is 2.

Now, the common factors can be found like this.

338:2x 13x 13

326:2x 163

266:2x 7x 19

272:2x 2x 2x 2x 17

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 = 7972322176/(2x4)

LCM = 7972322176/8

LCM = 996540272

Thus, we can understand that the LCM of 338,326,266,272 is 996540272.

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

• LCM of 968, 714, 261, 319
• LCM of 730, 772, 210, 775
• LCM of 836, 859, 381, 933
• LCM of 640, 141, 199, 781
• LCM of 965, 744, 801, 310

1. What is the LCM of 338, 326, 266, 272?

Answer: LCM of 338, 326, 266, 272 is 996540272.

2. How to calculate the LCM of 338, 326, 266, 272?

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 338, 326, 266, 272.

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}.