Given numbers are 323,456,548,616,214

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

The LCM of 323,456,548,616,214 is 8750015736.

Find LCM of 323,456,548,616,214 with Prime Factorization

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

2 x 2 x 2 x 19 x 17 x 3 x 137 x 77 x 107 = 8750015736

Therefore, the lowest common multiple of 323,456,548,616,214 is 8750015736.

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.

323 x 456 x 548 x 616 x 214 = 10640019134976

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.

323 : 1, 17, 19, 323

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

548 : 1, 2, 4, 137, 274, 548

616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 323,456,548,616,214, is 1.

Now, the common factors can be found like this.

323:17x 19

456:2x 2x 2x 3x 19

548:2x 2x 137

616:2x 2x 2x 7x 11

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 2x 2x 2x 2x 19 = 1216

Therefore, the value for common factors is 1216.

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 = 10640019134976/(1x1216)

LCM = 10640019134976/1216

LCM = 8750015736

Thus, we can understand that the LCM of 323,456,548,616,214 is 8750015736.

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

• LCM of 565, 364, 527, 866, 281
• LCM of 676, 174, 220, 968, 348
• LCM of 864, 240, 127, 469, 356
• LCM of 690, 751, 735, 967, 889
• LCM of 264, 174, 583, 944, 725

1. What is the LCM of 323, 456, 548, 616, 214?

Answer: LCM of 323, 456, 548, 616, 214 is 8750015736.

2. How to calculate the LCM of 323, 456, 548, 616, 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 323, 456, 548, 616, 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}.