Given numbers are 309,309,961

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

The LCM of 309,309,961 is 296949.

Find LCM of 309,309,961 with Prime Factorization

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

3 x 103 x 1 x 1 x 961 = 296949

Therefore, the lowest common multiple of 309,309,961 is 296949.

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 309 x 961 = 91757241

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

309 : 1, 3, 103, 309

961 : 1, 31, 961

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 309,309,961, is 1.

Now, the common factors can be found like this.

309:3x 103

309:3x 103

961:31x 31

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 = 91757241/(1x309)

LCM = 91757241/309

LCM = 296949

Thus, we can understand that the LCM of 309,309,961 is 296949.

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

• LCM of 202, 115, 682
• LCM of 747, 645, 444
• LCM of 153, 854, 103
• LCM of 829, 202, 316
• LCM of 390, 109, 831

1. What is the LCM of 309, 309, 961?

Answer: LCM of 309, 309, 961 is 296949.

2. How to calculate the LCM of 309, 309, 961?

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, 309, 961.

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}.