Given numbers are 314,265,416,460,848

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

The LCM of 314,265,416,460,848 is 398076640.

Find LCM of 314,265,416,460,848 with Prime Factorization

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

2 x 2 x 2 x 2 x 5 x 53 x 157 x 1 x 26 x 23 x 1 = 398076640

Therefore, the lowest common multiple of 314,265,416,460,848 is 398076640.

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.

314 x 265 x 416 x 460 x 848 = 13502759628800

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.

314 : 1, 2, 157, 314

265 : 1, 5, 53, 265

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

848 : 1, 2, 4, 8, 16, 53, 106, 212, 424, 848

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 314,265,416,460,848, is 1.

Now, the common factors can be found like this.

314:2x 157

265:5x 53

416:2x 2x 2x 2x 2x 13

460:2x 2x 5x 23

848:2x 2x 2x 2x 53

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 2x 5x 53 = 33920

Therefore, the value for common factors is 33920.

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 = 13502759628800/(1x33920)

LCM = 13502759628800/33920

LCM = 398076640

Thus, we can understand that the LCM of 314,265,416,460,848 is 398076640.

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

• LCM of 865, 892, 562, 514, 155
• LCM of 694, 662, 439, 461, 371
• LCM of 753, 309, 443, 134, 395
• LCM of 166, 542, 676, 597, 524
• LCM of 960, 769, 219, 147, 704

1. What is the LCM of 314, 265, 416, 460, 848?

Answer: LCM of 314, 265, 416, 460, 848 is 398076640.

2. How to calculate the LCM of 314, 265, 416, 460, 848?

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 314, 265, 416, 460, 848.

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}.