Given numbers are 204,521,596,746

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

The LCM of 204,521,596,746 is 5906945868.

Find LCM of 204,521,596,746 with Prime Factorization

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

2 x 2 x 51 x 521 x 149 x 373 = 5906945868

Therefore, the lowest common multiple of 204,521,596,746 is 5906945868.

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 521 x 596 x 746 = 47255566944

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

521 : 1, 521

596 : 1, 2, 4, 149, 298, 596

746 : 1, 2, 373, 746

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 204,521,596,746, is 1.

Now, the common factors can be found like this.

204:2x 2x 3x 17

521:521

596:2x 2x 149

746:2x 373

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 = 47255566944/(1x8)

LCM = 47255566944/8

LCM = 5906945868

Thus, we can understand that the LCM of 204,521,596,746 is 5906945868.

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

• LCM of 218, 976, 253, 266
• LCM of 663, 379, 929, 963
• LCM of 126, 585, 931, 612
• LCM of 864, 538, 512, 473
• LCM of 671, 451, 815, 634

1. What is the LCM of 204, 521, 596, 746?

Answer: LCM of 204, 521, 596, 746 is 5906945868.

2. How to calculate the LCM of 204, 521, 596, 746?

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, 521, 596, 746.

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}.