Given numbers are 722,46,459

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

The LCM of 722,46,459 is 7622154.

Find LCM of 722,46,459 with Prime Factorization

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

2 x 361 x 23 x 459 = 7622154

Therefore, the lowest common multiple of 722,46,459 is 7622154.

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.

722 x 46 x 459 = 15244308

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.

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

46 : 1, 2, 23, 46

459 : 1, 3, 9, 17, 27, 51, 153, 459

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 722,46,459, is 1.

Now, the common factors can be found like this.

722:2x 19x 19

46:2x 23

459:3x 3x 3x 17

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

2 = 2

Therefore, the value for common factors is 2.

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 = 15244308/(1x2)

LCM = 15244308/2

LCM = 7622154

Thus, we can understand that the LCM of 722,46,459 is 7622154.

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

• LCM of 892, 92, 878
• LCM of 364, 12, 579
• LCM of 811, 40, 138
• LCM of 400, 34, 890
• LCM of 632, 99, 927

1. What is the LCM of 722, 46, 459?

Answer: LCM of 722, 46, 459 is 7622154.

2. How to calculate the LCM of 722, 46, 459?

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 722, 46, 459.

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}.