Given numbers are 3441,6789

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

The LCM of 3441,6789 is 251193.

Find LCM of 3441,6789 with Prime Factorization

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

3 x 31 x 37 x 73 = 251193

Therefore, the lowest common multiple of 3441,6789 is 251193.

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.

3441 x 6789 = 23360949

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.

3441 : 1, 3, 31, 37, 93, 111, 1147, 3441

6789 : 1, 3, 31, 73, 93, 219, 2263, 6789

93 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 3441,6789, is 93.

Now, the common factors can be found like this.

3441:3x 31x 37

6789:3x 31x 73

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

= 1

Therefore, the value for common factors is 1.

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 = 23360949/(93x1)

LCM = 23360949/93

LCM = 251193

Thus, we can understand that the LCM of 3441,6789 is 251193.

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

• LCM of 1075, 1189
• LCM of 9863, 7966
• LCM of 9557, 5046
• LCM of 1381, 1563
• LCM of 1820, 9745

1. What is the LCM of 3441, 6789?

Answer: LCM of 3441, 6789 is 251193.

2. How to calculate the LCM of 3441, 6789?

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 3441, 6789.

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}.