Given numbers are 264,338,267,274,514

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

The LCM of 264,338,267,274,514 is 139808742216.

Find LCM of 264,338,267,274,514 with Prime Factorization

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

2 x 3 x 44 x 169 x 89 x 137 x 257 = 139808742216

Therefore, the lowest common multiple of 264,338,267,274,514 is 139808742216.

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.

264 x 338 x 267 x 274 x 514 = 3355409813184

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.

264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

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

267 : 1, 3, 89, 267

274 : 1, 2, 137, 274

514 : 1, 2, 257, 514

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 264,338,267,274,514, is 1.

Now, the common factors can be found like this.

264:2x 2x 2x 3x 11

338:2x 13x 13

267:3x 89

274:2x 137

514:2x 257

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 2x 3 = 24

Therefore, the value for common factors is 24.

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 = 3355409813184/(1x24)

LCM = 3355409813184/24

LCM = 139808742216

Thus, we can understand that the LCM of 264,338,267,274,514 is 139808742216.

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

• LCM of 321, 307, 604, 725, 939
• LCM of 899, 513, 583, 314, 307
• LCM of 488, 650, 249, 595, 962
• LCM of 586, 281, 186, 244, 463
• LCM of 328, 682, 872, 725, 300

1. What is the LCM of 264, 338, 267, 274, 514?

Answer: LCM of 264, 338, 267, 274, 514 is 139808742216.

2. How to calculate the LCM of 264, 338, 267, 274, 514?

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 264, 338, 267, 274, 514.

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}.