Given numbers are 312,195,468,940,368

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

The LCM of 312,195,468,940,368 is 10118160.

Find LCM of 312,195,468,940,368 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 13 x 1 x 1 x 3 x 47 x 46 = 10118160

Therefore, the lowest common multiple of 312,195,468,940,368 is 10118160.

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 195 x 468 x 940 x 368 = 9849421670400

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

195 : 1, 3, 5, 13, 15, 39, 65, 195

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

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

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 312,195,468,940,368, is 1.

Now, the common factors can be found like this.

312:2x 2x 2x 3x 13

195:3x 5x 13

468:2x 2x 3x 3x 13

940:2x 2x 5x 47

368:2x 2x 2x 2x 23

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 5x 13x 13 = 973440

Therefore, the value for common factors is 973440.

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 = 9849421670400/(1x973440)

LCM = 9849421670400/973440

LCM = 10118160

Thus, we can understand that the LCM of 312,195,468,940,368 is 10118160.

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

• LCM of 829, 604, 388, 400, 841
• LCM of 219, 167, 531, 945, 733
• LCM of 801, 903, 375, 626, 899
• LCM of 145, 233, 297, 689, 734
• LCM of 252, 468, 927, 188, 773

1. What is the LCM of 312, 195, 468, 940, 368?

Answer: LCM of 312, 195, 468, 940, 368 is 10118160.

2. How to calculate the LCM of 312, 195, 468, 940, 368?

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, 195, 468, 940, 368.

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}.