Given numbers are 731,468,689

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

The LCM of 731,468,689 is 18131724.

Find LCM of 731,468,689 with Prime Factorization

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

13 x 731 x 36 x 53 = 18131724

Therefore, the lowest common multiple of 731,468,689 is 18131724.

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.

731 x 468 x 689 = 235712412

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.

731 : 1, 17, 43, 731

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

689 : 1, 13, 53, 689

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 731,468,689, is 1.

Now, the common factors can be found like this.

731:17x 43

468:2x 2x 3x 3x 13

689:13x 53

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

13 = 13

Therefore, the value for common factors is 13.

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 = 235712412/(1x13)

LCM = 235712412/13

LCM = 18131724

Thus, we can understand that the LCM of 731,468,689 is 18131724.

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

• LCM of 238, 627, 302
• LCM of 229, 242, 417
• LCM of 831, 533, 464
• LCM of 235, 732, 431
• LCM of 547, 624, 316

1. What is the LCM of 731, 468, 689?

Answer: LCM of 731, 468, 689 is 18131724.

2. How to calculate the LCM of 731, 468, 689?

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 731, 468, 689.

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}.