Given numbers are 409,409,676

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

The LCM of 409,409,676 is 276484.

Find LCM of 409,409,676 with Prime Factorization

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

409 x 1 x 1 x 676 = 276484

Therefore, the lowest common multiple of 409,409,676 is 276484.

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.

409 x 409 x 676 = 113081956

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.

409 : 1, 409

409 : 1, 409

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 409,409,676, is 1.

Now, the common factors can be found like this.

409:409

409:409

676:2x 2x 13x 13

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

409 = 409

Therefore, the value for common factors is 409.

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 = 113081956/(1x409)

LCM = 113081956/409

LCM = 276484

Thus, we can understand that the LCM of 409,409,676 is 276484.

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

• LCM of 154, 949, 336
• LCM of 960, 299, 782
• LCM of 535, 994, 164
• LCM of 953, 377, 825
• LCM of 628, 125, 135

1. What is the LCM of 409, 409, 676?

Answer: LCM of 409, 409, 676 is 276484.

2. How to calculate the LCM of 409, 409, 676?

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 409, 409, 676.

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}.