Given numbers are 318,208,416

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

The LCM of 318,208,416 is 66144.

Find LCM of 318,208,416 with Prime Factorization

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

2 x 2 x 2 x 2 x 13 x 159 x 1 x 2 = 66144

Therefore, the lowest common multiple of 318,208,416 is 66144.

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.

318 x 208 x 416 = 27515904

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.

318 : 1, 2, 3, 6, 53, 106, 159, 318

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 318,208,416, is 2.

Now, the common factors can be found like this.

318:2x 3x 53

208:2x 2x 2x 2x 13

416:2x 2x 2x 2x 2x 13

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

2x 2x 2x 2x 13 = 208

Therefore, the value for common factors is 208.

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 = 27515904/(2x208)

LCM = 27515904/416

LCM = 66144

Thus, we can understand that the LCM of 318,208,416 is 66144.

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

• LCM of 529, 606, 886
• LCM of 705, 269, 136
• LCM of 674, 175, 478
• LCM of 411, 726, 421
• LCM of 874, 810, 380

1. What is the LCM of 318, 208, 416?

Answer: LCM of 318, 208, 416 is 66144.

2. How to calculate the LCM of 318, 208, 416?

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 318, 208, 416.

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}.