Given numbers are 26,84,309

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

The LCM of 26,84,309 is 112476.

Find LCM of 26,84,309 with Prime Factorization

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

2 x 3 x 13 x 14 x 103 = 112476

Therefore, the lowest common multiple of 26,84,309 is 112476.

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.

26 x 84 x 309 = 674856

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.

26 : 1, 2, 13, 26

84 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

309 : 1, 3, 103, 309

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 26,84,309, is 1.

Now, the common factors can be found like this.

26:2x 13

84:2x 2x 3x 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.

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 674856/(1x6)

LCM = 674856/6

LCM = 112476

Thus, we can understand that the LCM of 26,84,309 is 112476.

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

• LCM of 97, 15, 686
• LCM of 20, 42, 523
• LCM of 87, 33, 851
• LCM of 10, 88, 777
• LCM of 96, 26, 401

1. What is the LCM of 26, 84, 309?

Answer: LCM of 26, 84, 309 is 112476.

2. How to calculate the LCM of 26, 84, 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 26, 84, 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}.