Given numbers are 456,745,323

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

The LCM of 456,745,323 is 5775240.

Find LCM of 456,745,323 with Prime Factorization

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

19 x 24 x 745 x 17 = 5775240

Therefore, the lowest common multiple of 456,745,323 is 5775240.

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.

456 x 745 x 323 = 109729560

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.

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

745 : 1, 5, 149, 745

323 : 1, 17, 19, 323

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 456,745,323, is 1.

Now, the common factors can be found like this.

456:2x 2x 2x 3x 19

745:5x 149

323:17x 19

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

19 = 19

Therefore, the value for common factors is 19.

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 = 109729560/(1x19)

LCM = 109729560/19

LCM = 5775240

Thus, we can understand that the LCM of 456,745,323 is 5775240.

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

• LCM of 183, 200, 508
• LCM of 317, 132, 841
• LCM of 472, 757, 895
• LCM of 341, 364, 567
• LCM of 734, 908, 548

1. What is the LCM of 456, 745, 323?

Answer: LCM of 456, 745, 323 is 5775240.

2. How to calculate the LCM of 456, 745, 323?

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 456, 745, 323.

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}.