Given numbers are 204,104,410,524

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

The LCM of 204,104,410,524 is 142438920.

Find LCM of 204,104,410,524 with Prime Factorization

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

2 x 2 x 51 x 26 x 205 x 131 = 142438920

Therefore, the lowest common multiple of 204,104,410,524 is 142438920.

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 104 x 410 x 524 = 4558045440

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

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

410 : 1, 2, 5, 10, 41, 82, 205, 410

524 : 1, 2, 4, 131, 262, 524

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 204,104,410,524, is 2.

Now, the common factors can be found like this.

204:2x 2x 3x 17

104:2x 2x 2x 13

410:2x 5x 41

524:2x 2x 131

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 2 = 16

Therefore, the value for common factors is 16.

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 = 4558045440/(2x16)

LCM = 4558045440/32

LCM = 142438920

Thus, we can understand that the LCM of 204,104,410,524 is 142438920.

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

• LCM of 491, 939, 991, 820
• LCM of 686, 181, 147, 719
• LCM of 685, 794, 803, 370
• LCM of 906, 870, 331, 761
• LCM of 679, 852, 512, 883

1. What is the LCM of 204, 104, 410, 524?

Answer: LCM of 204, 104, 410, 524 is 142438920.

2. How to calculate the LCM of 204, 104, 410, 524?

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, 104, 410, 524.

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}.