Given numbers are 2049,1014

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

The LCM of 2049,1014 is 692562.

Find LCM of 2049,1014 with Prime Factorization

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

3 x 683 x 338 = 692562

Therefore, the lowest common multiple of 2049,1014 is 692562.

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.

2049 x 1014 = 2077686

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.

2049 : 1, 3, 683, 2049

1014 : 1, 2, 3, 6, 13, 26, 39, 78, 169, 338, 507, 1014

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 2049,1014, is 3.

Now, the common factors can be found like this.

2049:3x 683

1014:2x 3x 13x 13

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 = 2077686/(3x1)

LCM = 2077686/3

LCM = 692562

Thus, we can understand that the LCM of 2049,1014 is 692562.

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

• LCM of 9337, 2652
• LCM of 5943, 8359
• LCM of 7459, 6568
• LCM of 2454, 8006
• LCM of 9484, 2411

1. What is the LCM of 2049, 1014?

Answer: LCM of 2049, 1014 is 692562.

2. How to calculate the LCM of 2049, 1014?

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 2049, 1014.

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}.