Given numbers are 270,286,317,962,148

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

The LCM of 270,286,317,962,148 is 905713380.

Find LCM of 270,286,317,962,148 with Prime Factorization

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

2 x 13 x 37 x 135 x 11 x 317 x 1 x 2 = 905713380

Therefore, the lowest common multiple of 270,286,317,962,148 is 905713380.

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.

270 x 286 x 317 x 962 x 148 = 3485185086240

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.

270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

286 : 1, 2, 11, 13, 22, 26, 143, 286

317 : 1, 317

962 : 1, 2, 13, 26, 37, 74, 481, 962

148 : 1, 2, 4, 37, 74, 148

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 270,286,317,962,148, is 1.

Now, the common factors can be found like this.

270:2x 3x 3x 3x 5

286:2x 11x 13

317:317

962:2x 13x 37

148:2x 2x 37

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 13x 37 = 3848

Therefore, the value for common factors is 3848.

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 = 3485185086240/(1x3848)

LCM = 3485185086240/3848

LCM = 905713380

Thus, we can understand that the LCM of 270,286,317,962,148 is 905713380.

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

• LCM of 439, 899, 671, 863, 643
• LCM of 588, 223, 609, 932, 412
• LCM of 587, 604, 657, 754, 262
• LCM of 610, 687, 495, 429, 501
• LCM of 113, 610, 787, 789, 672

1. What is the LCM of 270, 286, 317, 962, 148?

Answer: LCM of 270, 286, 317, 962, 148 is 905713380.

2. How to calculate the LCM of 270, 286, 317, 962, 148?

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 270, 286, 317, 962, 148.

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}.