Given numbers are 309,49,309

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

The LCM of 309,49,309 is 15141.

Find LCM of 309,49,309 with Prime Factorization

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

3 x 103 x 1 x 49 x 1 = 15141

Therefore, the lowest common multiple of 309,49,309 is 15141.

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.

309 x 49 x 309 = 4678569

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.

309 : 1, 3, 103, 309

49 : 1, 7, 49

309 : 1, 3, 103, 309

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 309,49,309, is 1.

Now, the common factors can be found like this.

309:3x 103

49:7x 7

309:3x 103

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

3x 103 = 309

Therefore, the value for common factors is 309.

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 = 4678569/(1x309)

LCM = 4678569/309

LCM = 15141

Thus, we can understand that the LCM of 309,49,309 is 15141.

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

• LCM of 634, 48, 316
• LCM of 871, 61, 338
• LCM of 624, 38, 356
• LCM of 155, 25, 174
• LCM of 489, 64, 878

1. What is the LCM of 309, 49, 309?

Answer: LCM of 309, 49, 309 is 15141.

2. How to calculate the LCM of 309, 49, 309?

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 309, 49, 309.

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}.