Given numbers are 324,478,416,164

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

The LCM of 324,478,416,164 is 330187104.

Find LCM of 324,478,416,164 with Prime Factorization

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

2 x 2 x 81 x 239 x 104 x 41 = 330187104

Therefore, the lowest common multiple of 324,478,416,164 is 330187104.

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.

324 x 478 x 416 x 164 = 10565987328

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.

324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

478 : 1, 2, 239, 478

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

164 : 1, 2, 4, 41, 82, 164

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 324,478,416,164, is 2.

Now, the common factors can be found like this.

324:2x 2x 3x 3x 3x 3

478:2x 239

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

164:2x 2x 41

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 2 = 16

Therefore, the value for common factors is 16.

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 = 10565987328/(2x16)

LCM = 10565987328/32

LCM = 330187104

Thus, we can understand that the LCM of 324,478,416,164 is 330187104.

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

• LCM of 667, 469, 649, 216
• LCM of 232, 446, 436, 456
• LCM of 142, 914, 856, 715
• LCM of 346, 244, 285, 402
• LCM of 153, 633, 750, 684

1. What is the LCM of 324, 478, 416, 164?

Answer: LCM of 324, 478, 416, 164 is 330187104.

2. How to calculate the LCM of 324, 478, 416, 164?

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 324, 478, 416, 164.

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}.