Given numbers are 676,348,230,564,306

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

The LCM of 676,348,230,564,306 is 16211821860.

Find LCM of 676,348,230,564,306 with Prime Factorization

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

2 x 2 x 3 x 169 x 29 x 115 x 47 x 51 = 16211821860

Therefore, the lowest common multiple of 676,348,230,564,306 is 16211821860.

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.

676 x 348 x 230 x 564 x 306 = 9338009391360

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.

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

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

230 : 1, 2, 5, 10, 23, 46, 115, 230

564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,348,230,564,306, is 2.

Now, the common factors can be found like this.

676:2x 2x 13x 13

348:2x 2x 3x 29

230:2x 5x 23

564:2x 2x 3x 47

306:2x 3x 3x 17

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 3 = 288

Therefore, the value for common factors is 288.

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 = 9338009391360/(2x288)

LCM = 9338009391360/576

LCM = 16211821860

Thus, we can understand that the LCM of 676,348,230,564,306 is 16211821860.

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

• LCM of 128, 175, 110, 341, 569
• LCM of 933, 891, 590, 396, 962
• LCM of 894, 468, 656, 910, 729
• LCM of 238, 801, 897, 606, 772
• LCM of 977, 404, 426, 356, 204

1. What is the LCM of 676, 348, 230, 564, 306?

Answer: LCM of 676, 348, 230, 564, 306 is 16211821860.

2. How to calculate the LCM of 676, 348, 230, 564, 306?

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 676, 348, 230, 564, 306.

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}.