Given numbers are 723,206,698

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

The LCM of 723,206,698 is 51979362.

Find LCM of 723,206,698 with Prime Factorization

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

2 x 723 x 103 x 349 = 51979362

Therefore, the lowest common multiple of 723,206,698 is 51979362.

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 206 x 698 = 103958724

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

206 : 1, 2, 103, 206

698 : 1, 2, 349, 698

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 723,206,698, is 1.

Now, the common factors can be found like this.

723:3x 241

206:2x 103

698:2x 349

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 = 103958724/(1x2)

LCM = 103958724/2

LCM = 51979362

Thus, we can understand that the LCM of 723,206,698 is 51979362.

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

• LCM of 191, 561, 669
• LCM of 211, 987, 323
• LCM of 937, 992, 904
• LCM of 871, 981, 121
• LCM of 776, 481, 969

1. What is the LCM of 723, 206, 698?

Answer: LCM of 723, 206, 698 is 51979362.

2. How to calculate the LCM of 723, 206, 698?

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, 206, 698.

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}.