Given numbers are 782,170,204

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

The LCM of 782,170,204 is 23460.

Find LCM of 782,170,204 with Prime Factorization

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

2 x 17 x 23 x 5 x 6 = 23460

Therefore, the lowest common multiple of 782,170,204 is 23460.

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.

782 x 170 x 204 = 27119760

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.

782 : 1, 2, 17, 23, 34, 46, 391, 782

170 : 1, 2, 5, 10, 17, 34, 85, 170

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

34 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 782,170,204, is 34.

Now, the common factors can be found like this.

782:2x 17x 23

170:2x 5x 17

204:2x 2x 3x 17

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 17 = 34

Therefore, the value for common factors is 34.

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 = 27119760/(34x34)

LCM = 27119760/1156

LCM = 23460

Thus, we can understand that the LCM of 782,170,204 is 23460.

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

• LCM of 528, 903, 641
• LCM of 814, 412, 888
• LCM of 500, 103, 345
• LCM of 597, 600, 960
• LCM of 136, 649, 854

1. What is the LCM of 782, 170, 204?

Answer: LCM of 782, 170, 204 is 23460.

2. How to calculate the LCM of 782, 170, 204?

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 782, 170, 204.

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}.