Given numbers are 4724,6896

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

The LCM of 4724,6896 is 8144176.

Find LCM of 4724,6896 with Prime Factorization

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

2 x 2 x 1181 x 1724 = 8144176

Therefore, the lowest common multiple of 4724,6896 is 8144176.

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.

4724 x 6896 = 32576704

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.

4724 : 1, 2, 4, 1181, 2362, 4724

6896 : 1, 2, 4, 8, 16, 431, 862, 1724, 3448, 6896

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 4724,6896, is 4.

Now, the common factors can be found like this.

4724:2x 2x 1181

6896:2x 2x 2x 2x 431

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 = 32576704/(4x1)

LCM = 32576704/4

LCM = 8144176

Thus, we can understand that the LCM of 4724,6896 is 8144176.

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

• LCM of 1226, 3946
• LCM of 4822, 6823
• LCM of 2127, 2761
• LCM of 4951, 2537
• LCM of 6578, 2685

1. What is the LCM of 4724, 6896?

Answer: LCM of 4724, 6896 is 8144176.

2. How to calculate the LCM of 4724, 6896?

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 4724, 6896.

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}.