Given numbers are 936,336,380,894,261

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

The LCM of 936,336,380,894,261 is 5379126480.

Find LCM of 936,336,380,894,261 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 13 x 14 x 95 x 149 x 29 = 5379126480

Therefore, the lowest common multiple of 936,336,380,894,261 is 5379126480.

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.

936 x 336 x 380 x 894 x 261 = 27885391672320

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.

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

894 : 1, 2, 3, 6, 149, 298, 447, 894

261 : 1, 3, 9, 29, 87, 261

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 936,336,380,894,261, is 1.

Now, the common factors can be found like this.

936:2x 2x 2x 3x 3x 13

336:2x 2x 2x 2x 3x 7

380:2x 2x 5x 19

894:2x 3x 149

261:3x 3x 29

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 3x 3x 3x 3 = 5184

Therefore, the value for common factors is 5184.

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 = 27885391672320/(1x5184)

LCM = 27885391672320/5184

LCM = 5379126480

Thus, we can understand that the LCM of 936,336,380,894,261 is 5379126480.

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

• LCM of 445, 152, 557, 993, 190
• LCM of 579, 680, 535, 547, 653
• LCM of 494, 129, 990, 654, 700
• LCM of 805, 256, 587, 989, 237
• LCM of 572, 371, 500, 935, 168

1. What is the LCM of 936, 336, 380, 894, 261?

Answer: LCM of 936, 336, 380, 894, 261 is 5379126480.

2. How to calculate the LCM of 936, 336, 380, 894, 261?

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 936, 336, 380, 894, 261.

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}.