Given numbers are 3824,1696

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

The LCM of 3824,1696 is 405344.

Find LCM of 3824,1696 with Prime Factorization

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

2 x 2 x 2 x 2 x 239 x 106 = 405344

Therefore, the lowest common multiple of 3824,1696 is 405344.

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.

3824 x 1696 = 6485504

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.

3824 : 1, 2, 4, 8, 16, 239, 478, 956, 1912, 3824

1696 : 1, 2, 4, 8, 16, 32, 53, 106, 212, 424, 848, 1696

16 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 3824,1696, is 16.

Now, the common factors can be found like this.

3824:2x 2x 2x 2x 239

1696:2x 2x 2x 2x 2x 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 = 6485504/(16x1)

LCM = 6485504/16

LCM = 405344

Thus, we can understand that the LCM of 3824,1696 is 405344.

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

• LCM of 5593, 6088
• LCM of 5560, 6903
• LCM of 8356, 9064
• LCM of 9979, 3343
• LCM of 5830, 1423

1. What is the LCM of 3824, 1696?

Answer: LCM of 3824, 1696 is 405344.

2. How to calculate the LCM of 3824, 1696?

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 3824, 1696.

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}.