Given numbers are 366,990,293,756,238

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

The LCM of 366,990,293,756,238 is 12633708780.

Find LCM of 366,990,293,756,238 with Prime Factorization

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

2 x 3 x 3 x 7 x 61 x 55 x 293 x 6 x 17 = 12633708780

Therefore, the lowest common multiple of 366,990,293,756,238 is 12633708780.

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.

366 x 990 x 293 x 756 x 238 = 19102167675360

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.

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

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

293 : 1, 293

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

238 : 1, 2, 7, 14, 17, 34, 119, 238

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 366,990,293,756,238, is 1.

Now, the common factors can be found like this.

366:2x 3x 61

990:2x 3x 3x 5x 11

293:293

756:2x 2x 3x 3x 3x 7

238:2x 7x 17

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 3x 3x 3x 7 = 1512

Therefore, the value for common factors is 1512.

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 = 19102167675360/(1x1512)

LCM = 19102167675360/1512

LCM = 12633708780

Thus, we can understand that the LCM of 366,990,293,756,238 is 12633708780.

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

• LCM of 109, 228, 376, 158, 870
• LCM of 848, 830, 848, 717, 979
• LCM of 496, 585, 437, 847, 611
• LCM of 254, 527, 481, 430, 651
• LCM of 956, 681, 900, 645, 188

1. What is the LCM of 366, 990, 293, 756, 238?

Answer: LCM of 366, 990, 293, 756, 238 is 12633708780.

2. How to calculate the LCM of 366, 990, 293, 756, 238?

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 366, 990, 293, 756, 238.

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}.