Given numbers are 723,231,677

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

The LCM of 723,231,677 is 37689267.

Find LCM of 723,231,677 with Prime Factorization

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

3 x 241 x 77 x 677 = 37689267

Therefore, the lowest common multiple of 723,231,677 is 37689267.

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 231 x 677 = 113067801

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

231 : 1, 3, 7, 11, 21, 33, 77, 231

677 : 1, 677

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 723,231,677, is 1.

Now, the common factors can be found like this.

723:3x 241

231:3x 7x 11

677:677

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 = 113067801/(1x3)

LCM = 113067801/3

LCM = 37689267

Thus, we can understand that the LCM of 723,231,677 is 37689267.

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

• LCM of 439, 862, 787
• LCM of 561, 517, 366
• LCM of 840, 745, 271
• LCM of 638, 840, 310
• LCM of 599, 819, 517

1. What is the LCM of 723, 231, 677?

Answer: LCM of 723, 231, 677 is 37689267.

2. How to calculate the LCM of 723, 231, 677?

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, 231, 677.

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}.