Given numbers are 456,723,723

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

The LCM of 456,723,723 is 109896.

Find LCM of 456,723,723 with Prime Factorization

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

3 x 241 x 152 x 1 x 1 = 109896

Therefore, the lowest common multiple of 456,723,723 is 109896.

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 723 x 723 = 238364424

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

723 : 1, 3, 241, 723

723 : 1, 3, 241, 723

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 456,723,723, is 3.

Now, the common factors can be found like this.

456:2x 2x 2x 3x 19

723:3x 241

723:3x 241

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

3x 241 = 723

Therefore, the value for common factors is 723.

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 = 238364424/(3x723)

LCM = 238364424/2169

LCM = 109896

Thus, we can understand that the LCM of 456,723,723 is 109896.

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

• LCM of 822, 792, 637
• LCM of 326, 236, 608
• LCM of 618, 254, 357
• LCM of 807, 821, 367
• LCM of 299, 833, 892

1. What is the LCM of 456, 723, 723?

Answer: LCM of 456, 723, 723 is 109896.

2. How to calculate the LCM of 456, 723, 723?

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, 723, 723.

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}.