Given numbers are 328,170,376,624

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

The LCM of 328,170,376,624 is 102208080.

Find LCM of 328,170,376,624 with Prime Factorization

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

2 x 2 x 2 x 41 x 85 x 47 x 78 = 102208080

Therefore, the lowest common multiple of 328,170,376,624 is 102208080.

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.

328 x 170 x 376 x 624 = 13082634240

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.

328 : 1, 2, 4, 8, 41, 82, 164, 328

170 : 1, 2, 5, 10, 17, 34, 85, 170

376 : 1, 2, 4, 8, 47, 94, 188, 376

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 328,170,376,624, is 2.

Now, the common factors can be found like this.

328:2x 2x 2x 41

170:2x 5x 17

376:2x 2x 2x 47

624:2x 2x 2x 2x 3x 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 2x 2 = 64

Therefore, the value for common factors is 64.

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 = 13082634240/(2x64)

LCM = 13082634240/128

LCM = 102208080

Thus, we can understand that the LCM of 328,170,376,624 is 102208080.

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

• LCM of 997, 980, 408, 499
• LCM of 266, 687, 341, 408
• LCM of 178, 293, 346, 133
• LCM of 353, 768, 138, 344
• LCM of 289, 581, 126, 832

1. What is the LCM of 328, 170, 376, 624?

Answer: LCM of 328, 170, 376, 624 is 102208080.

2. How to calculate the LCM of 328, 170, 376, 624?

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 328, 170, 376, 624.

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}.