Given numbers are 845,264,348,420,270

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

The LCM of 845,264,348,420,270 is 407567160.

Find LCM of 845,264,348,420,270 with Prime Factorization

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

2 x 2 x 3 x 5 x 169 x 22 x 29 x 7 x 9 = 407567160

Therefore, the lowest common multiple of 845,264,348,420,270 is 407567160.

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.

845 x 264 x 348 x 420 x 270 = 8803450656000

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.

845 : 1, 5, 13, 65, 169, 845

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

348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 845,264,348,420,270, is 1.

Now, the common factors can be found like this.

845:5x 13x 13

264:2x 2x 2x 3x 11

348:2x 2x 3x 29

420:2x 2x 3x 5x 7

270:2x 3x 3x 3x 5

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 3x 3x 3x 5x 5 = 21600

Therefore, the value for common factors is 21600.

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 = 8803450656000/(1x21600)

LCM = 8803450656000/21600

LCM = 407567160

Thus, we can understand that the LCM of 845,264,348,420,270 is 407567160.

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

• LCM of 820, 626, 907, 428, 976
• LCM of 264, 985, 613, 485, 414
• LCM of 401, 821, 281, 726, 432
• LCM of 771, 232, 696, 372, 359
• LCM of 313, 577, 143, 957, 313

1. What is the LCM of 845, 264, 348, 420, 270?

Answer: LCM of 845, 264, 348, 420, 270 is 407567160.

2. How to calculate the LCM of 845, 264, 348, 420, 270?

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 845, 264, 348, 420, 270.

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}.