Given numbers are 21,85,789

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

The LCM of 21,85,789 is 469455.

Find LCM of 21,85,789 with Prime Factorization

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

3 x 7 x 85 x 263 = 469455

Therefore, the lowest common multiple of 21,85,789 is 469455.

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.

21 x 85 x 789 = 1408365

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.

21 : 1, 3, 7, 21

85 : 1, 5, 17, 85

789 : 1, 3, 263, 789

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 21,85,789, is 1.

Now, the common factors can be found like this.

21:3x 7

85:5x 17

789:3x 263

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

3 = 3

Therefore, the value for common factors is 3.

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 = 1408365/(1x3)

LCM = 1408365/3

LCM = 469455

Thus, we can understand that the LCM of 21,85,789 is 469455.

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

• LCM of 89, 55, 115
• LCM of 61, 28, 242
• LCM of 93, 19, 241
• LCM of 36, 99, 680
• LCM of 57, 52, 393

1. What is the LCM of 21, 85, 789?

Answer: LCM of 21, 85, 789 is 469455.

2. How to calculate the LCM of 21, 85, 789?

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 21, 85, 789.

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}.