Given numbers are 3468,4989

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

The LCM of 3468,4989 is 5767284.

Find LCM of 3468,4989 with Prime Factorization

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

3 x 1156 x 1663 = 5767284

Therefore, the lowest common multiple of 3468,4989 is 5767284.

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.

3468 x 4989 = 17301852

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.

3468 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204, 289, 578, 867, 1156, 1734, 3468

4989 : 1, 3, 1663, 4989

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 3468,4989, is 3.

Now, the common factors can be found like this.

3468:2x 2x 3x 17x 17

4989:3x 1663

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 = 17301852/(3x1)

LCM = 17301852/3

LCM = 5767284

Thus, we can understand that the LCM of 3468,4989 is 5767284.

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

• LCM of 6408, 5517
• LCM of 2125, 6812
• LCM of 6963, 1503
• LCM of 2997, 2070
• LCM of 9733, 2123

1. What is the LCM of 3468, 4989?

Answer: LCM of 3468, 4989 is 5767284.

2. How to calculate the LCM of 3468, 4989?

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 3468, 4989.

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}.