Given numbers are 364,252,268,164,361

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

The LCM of 364,252,268,164,361 is 3248701092.

Find LCM of 364,252,268,164,361 with Prime Factorization

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

2 x 2 x 7 x 13 x 9 x 67 x 41 x 361 = 3248701092

Therefore, the lowest common multiple of 364,252,268,164,361 is 3248701092.

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.

364 x 252 x 268 x 164 x 361 = 1455418089216

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.

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

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

164 : 1, 2, 4, 41, 82, 164

361 : 1, 19, 361

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 364,252,268,164,361, is 1.

Now, the common factors can be found like this.

364:2x 2x 7x 13

252:2x 2x 3x 3x 7

268:2x 2x 67

164:2x 2x 41

361:19x 19

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 2x 2x 2x 7 = 448

Therefore, the value for common factors is 448.

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 = 1455418089216/(1x448)

LCM = 1455418089216/448

LCM = 3248701092

Thus, we can understand that the LCM of 364,252,268,164,361 is 3248701092.

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

• LCM of 228, 527, 669, 862, 426
• LCM of 396, 318, 828, 244, 630
• LCM of 708, 605, 316, 903, 576
• LCM of 464, 814, 173, 682, 254
• LCM of 891, 583, 303, 493, 415

1. What is the LCM of 364, 252, 268, 164, 361?

Answer: LCM of 364, 252, 268, 164, 361 is 3248701092.

2. How to calculate the LCM of 364, 252, 268, 164, 361?

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 364, 252, 268, 164, 361.

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}.