Given numbers are 882,297,216,279,351

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

The LCM of 882,297,216,279,351 is 46918872.

Find LCM of 882,297,216,279,351 with Prime Factorization

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

2 x 3 x 3 x 3 x 49 x 11 x 4 x 31 x 13 = 46918872

Therefore, the lowest common multiple of 882,297,216,279,351 is 46918872.

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 297 x 216 x 279 x 351 = 5541024945456

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

297 : 1, 3, 9, 11, 27, 33, 99, 297

216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

279 : 1, 3, 9, 31, 93, 279

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

9 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 882,297,216,279,351, is 9.

Now, the common factors can be found like this.

882:2x 3x 3x 7x 7

297:3x 3x 3x 11

216:2x 2x 2x 3x 3x 3

279:3x 3x 31

351:3x 3x 3x 13

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3x 3x 3x 3x 3x 3x 3 = 13122

Therefore, the value for common factors is 13122.

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 = 5541024945456/(9x13122)

LCM = 5541024945456/118098

LCM = 46918872

Thus, we can understand that the LCM of 882,297,216,279,351 is 46918872.

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

• LCM of 980, 545, 709, 424, 448
• LCM of 602, 606, 754, 712, 873
• LCM of 355, 666, 857, 673, 752
• LCM of 918, 371, 713, 225, 926
• LCM of 458, 330, 402, 225, 161

1. What is the LCM of 882, 297, 216, 279, 351?

Answer: LCM of 882, 297, 216, 279, 351 is 46918872.

2. How to calculate the LCM of 882, 297, 216, 279, 351?

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, 297, 216, 279, 351.

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}.