Given numbers are 312,504,366,424,305

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

The LCM of 312,504,366,424,305 is 105913080.

Find LCM of 312,504,366,424,305 with Prime Factorization

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

2 x 2 x 2 x 3 x 61 x 13 x 21 x 1 x 53 x 5 = 105913080

Therefore, the lowest common multiple of 312,504,366,424,305 is 105913080.

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.

312 x 504 x 366 x 424 x 305 = 7442723957760

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.

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

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

366 : 1, 2, 3, 6, 61, 122, 183, 366

424 : 1, 2, 4, 8, 53, 106, 212, 424

305 : 1, 5, 61, 305

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 312,504,366,424,305, is 1.

Now, the common factors can be found like this.

312:2x 2x 2x 3x 13

504:2x 2x 2x 3x 3x 7

366:2x 3x 61

424:2x 2x 2x 53

305:5x 61

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 2x 2x 3x 3x 61 = 70272

Therefore, the value for common factors is 70272.

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 = 7442723957760/(1x70272)

LCM = 7442723957760/70272

LCM = 105913080

Thus, we can understand that the LCM of 312,504,366,424,305 is 105913080.

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

• LCM of 611, 419, 822, 271, 396
• LCM of 919, 171, 523, 929, 678
• LCM of 960, 956, 842, 641, 355
• LCM of 744, 456, 442, 485, 173
• LCM of 641, 569, 936, 172, 756

1. What is the LCM of 312, 504, 366, 424, 305?

Answer: LCM of 312, 504, 366, 424, 305 is 105913080.

2. How to calculate the LCM of 312, 504, 366, 424, 305?

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 312, 504, 366, 424, 305.

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}.