Given numbers are 873,216,688,504,614

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

The LCM of 873,216,688,504,614 is 3872222928.

Find LCM of 873,216,688,504,614 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 97 x 3 x 86 x 7 x 307 = 3872222928

Therefore, the lowest common multiple of 873,216,688,504,614 is 3872222928.

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.

873 x 216 x 688 x 504 x 614 = 40147207317504

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.

873 : 1, 3, 9, 97, 291, 873

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

688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

614 : 1, 2, 307, 614

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 873,216,688,504,614, is 1.

Now, the common factors can be found like this.

873:3x 3x 97

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

688:2x 2x 2x 2x 43

504:2x 2x 2x 3x 3x 7

614:2x 307

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 3x 3 = 10368

Therefore, the value for common factors is 10368.

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 = 40147207317504/(1x10368)

LCM = 40147207317504/10368

LCM = 3872222928

Thus, we can understand that the LCM of 873,216,688,504,614 is 3872222928.

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

• LCM of 305, 994, 496, 119, 293
• LCM of 121, 830, 692, 102, 275
• LCM of 541, 911, 299, 555, 604
• LCM of 586, 793, 533, 834, 497
• LCM of 189, 321, 150, 884, 284

1. What is the LCM of 873, 216, 688, 504, 614?

Answer: LCM of 873, 216, 688, 504, 614 is 3872222928.

2. How to calculate the LCM of 873, 216, 688, 504, 614?

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 873, 216, 688, 504, 614.

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}.