Given numbers are 314,236,378,335,676

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

The LCM of 314,236,378,335,676 is 396465107220.

Find LCM of 314,236,378,335,676 with Prime Factorization

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

2 x 2 x 157 x 59 x 189 x 335 x 169 = 396465107220

Therefore, the lowest common multiple of 314,236,378,335,676 is 396465107220.

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 236 x 378 x 335 x 676 = 6343441715520

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

236 : 1, 2, 4, 59, 118, 236

378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

335 : 1, 5, 67, 335

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 314,236,378,335,676, is 1.

Now, the common factors can be found like this.

314:2x 157

236:2x 2x 59

378:2x 3x 3x 3x 7

335:5x 67

676:2x 2x 13x 13

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 2 = 16

Therefore, the value for common factors is 16.

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 = 6343441715520/(1x16)

LCM = 6343441715520/16

LCM = 396465107220

Thus, we can understand that the LCM of 314,236,378,335,676 is 396465107220.

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

• LCM of 899, 272, 113, 272, 793
• LCM of 297, 459, 504, 317, 289
• LCM of 230, 341, 238, 895, 804
• LCM of 484, 534, 108, 997, 736
• LCM of 997, 342, 631, 437, 696

1. What is the LCM of 314, 236, 378, 335, 676?

Answer: LCM of 314, 236, 378, 335, 676 is 396465107220.

2. How to calculate the LCM of 314, 236, 378, 335, 676?

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, 236, 378, 335, 676.

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}.