Given numbers are 204,373,208,614

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

The LCM of 204,373,208,614 is 1214732688.

Find LCM of 204,373,208,614 with Prime Factorization

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

2 x 2 x 51 x 373 x 52 x 307 = 1214732688

Therefore, the lowest common multiple of 204,373,208,614 is 1214732688.

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.

204 x 373 x 208 x 614 = 9717861504

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.

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

373 : 1, 373

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

614 : 1, 2, 307, 614

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 204,373,208,614, is 1.

Now, the common factors can be found like this.

204:2x 2x 3x 17

373:373

208:2x 2x 2x 2x 13

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 2 = 8

Therefore, the value for common factors is 8.

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 = 9717861504/(1x8)

LCM = 9717861504/8

LCM = 1214732688

Thus, we can understand that the LCM of 204,373,208,614 is 1214732688.

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

• LCM of 214, 711, 481, 156
• LCM of 189, 189, 957, 598
• LCM of 695, 420, 647, 342
• LCM of 858, 361, 868, 792
• LCM of 469, 965, 824, 689

1. What is the LCM of 204, 373, 208, 614?

Answer: LCM of 204, 373, 208, 614 is 1214732688.

2. How to calculate the LCM of 204, 373, 208, 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 204, 373, 208, 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}.