Given numbers are 723,689,633

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

The LCM of 723,689,633 is 105109017.

Find LCM of 723,689,633 with Prime Factorization

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

3 x 241 x 689 x 211 = 105109017

Therefore, the lowest common multiple of 723,689,633 is 105109017.

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.

723 x 689 x 633 = 315327051

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.

723 : 1, 3, 241, 723

689 : 1, 13, 53, 689

633 : 1, 3, 211, 633

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 723,689,633, is 1.

Now, the common factors can be found like this.

723:3x 241

689:13x 53

633:3x 211

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

3 = 3

Therefore, the value for common factors is 3.

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 = 315327051/(1x3)

LCM = 315327051/3

LCM = 105109017

Thus, we can understand that the LCM of 723,689,633 is 105109017.

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

• LCM of 620, 237, 306
• LCM of 110, 840, 584
• LCM of 923, 306, 397
• LCM of 817, 767, 780
• LCM of 887, 577, 383

1. What is the LCM of 723, 689, 633?

Answer: LCM of 723, 689, 633 is 105109017.

2. How to calculate the LCM of 723, 689, 633?

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 723, 689, 633.

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}.