Given numbers are 821,704,170

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

The LCM of 821,704,170 is 49128640.

Find LCM of 821,704,170 with Prime Factorization

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

2 x 821 x 352 x 85 = 49128640

Therefore, the lowest common multiple of 821,704,170 is 49128640.

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.

821 x 704 x 170 = 98257280

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.

821 : 1, 821

704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 821,704,170, is 1.

Now, the common factors can be found like this.

821:821

704:2x 2x 2x 2x 2x 2x 11

170:2x 5x 17

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

2 = 2

Therefore, the value for common factors is 2.

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 = 98257280/(1x2)

LCM = 98257280/2

LCM = 49128640

Thus, we can understand that the LCM of 821,704,170 is 49128640.

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

• LCM of 911, 778, 506
• LCM of 819, 187, 605
• LCM of 351, 745, 726
• LCM of 777, 493, 160
• LCM of 820, 343, 907

1. What is the LCM of 821, 704, 170?

Answer: LCM of 821, 704, 170 is 49128640.

2. How to calculate the LCM of 821, 704, 170?

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 821, 704, 170.

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}.