Given numbers are 312,816,414,940

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

The LCM of 312,816,414,940 is 172008720.

Find LCM of 312,816,414,940 with Prime Factorization

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

2 x 2 x 2 x 3 x 13 x 34 x 69 x 235 = 172008720

Therefore, the lowest common multiple of 312,816,414,940 is 172008720.

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 816 x 414 x 940 = 99077022720

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

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 312,816,414,940, is 2.

Now, the common factors can be found like this.

312:2x 2x 2x 3x 13

816:2x 2x 2x 2x 3x 17

414:2x 3x 3x 23

940:2x 2x 5x 47

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 3x 3 = 288

Therefore, the value for common factors is 288.

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 = 99077022720/(2x288)

LCM = 99077022720/576

LCM = 172008720

Thus, we can understand that the LCM of 312,816,414,940 is 172008720.

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

• LCM of 103, 931, 688, 775
• LCM of 949, 542, 573, 445
• LCM of 397, 490, 479, 854
• LCM of 928, 891, 764, 982
• LCM of 405, 631, 380, 189

1. What is the LCM of 312, 816, 414, 940?

Answer: LCM of 312, 816, 414, 940 is 172008720.

2. How to calculate the LCM of 312, 816, 414, 940?

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, 816, 414, 940.

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}.