Given numbers are 882,351,960,185,214

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

The LCM of 882,351,960,185,214 is 21789069120.

Find LCM of 882,351,960,185,214 with Prime Factorization

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

2 x 3 x 3 x 5 x 49 x 39 x 32 x 37 x 107 = 21789069120

Therefore, the lowest common multiple of 882,351,960,185,214 is 21789069120.

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.

882 x 351 x 960 x 185 x 214 = 11766097324800

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.

882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

351 : 1, 3, 9, 13, 27, 39, 117, 351

960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

185 : 1, 5, 37, 185

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 882,351,960,185,214, is 1.

Now, the common factors can be found like this.

882:2x 3x 3x 7x 7

351:3x 3x 3x 13

960:2x 2x 2x 2x 2x 2x 3x 5

185:5x 37

214:2x 107

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 3x 3x 3x 5 = 540

Therefore, the value for common factors is 540.

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 = 11766097324800/(1x540)

LCM = 11766097324800/540

LCM = 21789069120

Thus, we can understand that the LCM of 882,351,960,185,214 is 21789069120.

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

• LCM of 626, 296, 191, 896, 314
• LCM of 785, 347, 630, 642, 922
• LCM of 615, 343, 636, 711, 834
• LCM of 807, 666, 109, 701, 698
• LCM of 359, 803, 354, 605, 167

1. What is the LCM of 882, 351, 960, 185, 214?

Answer: LCM of 882, 351, 960, 185, 214 is 21789069120.

2. How to calculate the LCM of 882, 351, 960, 185, 214?

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 882, 351, 960, 185, 214.

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}.