Given numbers are 628,314,733

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

The LCM of 628,314,733 is 460324.

Find LCM of 628,314,733 with Prime Factorization

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

2 x 157 x 2 x 1 x 733 = 460324

Therefore, the lowest common multiple of 628,314,733 is 460324.

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.

628 x 314 x 733 = 144541736

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.

628 : 1, 2, 4, 157, 314, 628

314 : 1, 2, 157, 314

733 : 1, 733

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 628,314,733, is 1.

Now, the common factors can be found like this.

628:2x 2x 157

314:2x 157

733:733

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

2x 157 = 314

Therefore, the value for common factors is 314.

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 = 144541736/(1x314)

LCM = 144541736/314

LCM = 460324

Thus, we can understand that the LCM of 628,314,733 is 460324.

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

• LCM of 514, 943, 945
• LCM of 197, 994, 682
• LCM of 105, 766, 820
• LCM of 140, 956, 695
• LCM of 571, 339, 758

1. What is the LCM of 628, 314, 733?

Answer: LCM of 628, 314, 733 is 460324.

2. How to calculate the LCM of 628, 314, 733?

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 628, 314, 733.

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}.