Given numbers are 561,814,722

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

The LCM of 561,814,722 is 14986554.

Find LCM of 561,814,722 with Prime Factorization

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

2 x 11 x 51 x 37 x 361 = 14986554

Therefore, the lowest common multiple of 561,814,722 is 14986554.

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.

561 x 814 x 722 = 329704188

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.

561 : 1, 3, 11, 17, 33, 51, 187, 561

814 : 1, 2, 11, 22, 37, 74, 407, 814

722 : 1, 2, 19, 38, 361, 722

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 561,814,722, is 1.

Now, the common factors can be found like this.

561:3x 11x 17

814:2x 11x 37

722:2x 19x 19

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 11 = 22

Therefore, the value for common factors is 22.

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 = 329704188/(1x22)

LCM = 329704188/22

LCM = 14986554

Thus, we can understand that the LCM of 561,814,722 is 14986554.

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

• LCM of 456, 810, 783
• LCM of 800, 632, 903
• LCM of 276, 261, 673
• LCM of 108, 888, 861
• LCM of 935, 248, 695

1. What is the LCM of 561, 814, 722?

Answer: LCM of 561, 814, 722 is 14986554.

2. How to calculate the LCM of 561, 814, 722?

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 561, 814, 722.

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}.