Given numbers are 306,226,676,523

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

The LCM of 306,226,676,523 is 6112491372.

Find LCM of 306,226,676,523 with Prime Factorization

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

2 x 153 x 113 x 338 x 523 = 6112491372

Therefore, the lowest common multiple of 306,226,676,523 is 6112491372.

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.

306 x 226 x 676 x 523 = 24449965488

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.

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

226 : 1, 2, 113, 226

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

523 : 1, 523

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 306,226,676,523, is 1.

Now, the common factors can be found like this.

306:2x 3x 3x 17

226:2x 113

676:2x 2x 13x 13

523:523

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 24449965488/(1x4)

LCM = 24449965488/4

LCM = 6112491372

Thus, we can understand that the LCM of 306,226,676,523 is 6112491372.

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

• LCM of 670, 755, 472, 935
• LCM of 747, 336, 358, 130
• LCM of 882, 901, 624, 529
• LCM of 324, 138, 949, 794
• LCM of 213, 830, 875, 512

1. What is the LCM of 306, 226, 676, 523?

Answer: LCM of 306, 226, 676, 523 is 6112491372.

2. How to calculate the LCM of 306, 226, 676, 523?

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 306, 226, 676, 523.

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}.