Given numbers are 409,716,466

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

The LCM of 409,716,466 is 68232652.

Find LCM of 409,716,466 with Prime Factorization

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

2 x 409 x 358 x 233 = 68232652

Therefore, the lowest common multiple of 409,716,466 is 68232652.

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 716 x 466 = 136465304

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

716 : 1, 2, 4, 179, 358, 716

466 : 1, 2, 233, 466

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 409,716,466, is 1.

Now, the common factors can be found like this.

409:409

716:2x 2x 179

466:2x 233

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

2 = 2

Therefore, the value for common factors is 2.

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 = 136465304/(1x2)

LCM = 136465304/2

LCM = 68232652

Thus, we can understand that the LCM of 409,716,466 is 68232652.

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

• LCM of 774, 273, 678
• LCM of 949, 652, 914
• LCM of 982, 900, 975
• LCM of 125, 602, 947
• LCM of 180, 453, 166

1. What is the LCM of 409, 716, 466?

Answer: LCM of 409, 716, 466 is 68232652.

2. How to calculate the LCM of 409, 716, 466?

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, 716, 466.

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}.