Given numbers are 1909,9752

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

The LCM of 1909,9752 is 809416.

Find LCM of 1909,9752 with Prime Factorization

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

23 x 83 x 424 = 809416

Therefore, the lowest common multiple of 1909,9752 is 809416.

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.

1909 x 9752 = 18616568

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.

1909 : 1, 23, 83, 1909

9752 : 1, 2, 4, 8, 23, 46, 53, 92, 106, 184, 212, 424, 1219, 2438, 4876, 9752

23 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 1909,9752, is 23.

Now, the common factors can be found like this.

1909:23x 83

9752:2x 2x 2x 23x 53

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 = 18616568/(23x1)

LCM = 18616568/23

LCM = 809416

Thus, we can understand that the LCM of 1909,9752 is 809416.

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

• LCM of 6868, 9890
• LCM of 2792, 4004
• LCM of 8451, 6220
• LCM of 8282, 5284
• LCM of 6776, 3253

1. What is the LCM of 1909, 9752?

Answer: LCM of 1909, 9752 is 809416.

2. How to calculate the LCM of 1909, 9752?

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 1909, 9752.

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}.