Given numbers are 690,712,689

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

The LCM of 690,712,689 is 169245960.

Find LCM of 690,712,689 with Prime Factorization

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

2 x 345 x 356 x 689 = 169245960

Therefore, the lowest common multiple of 690,712,689 is 169245960.

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.

690 x 712 x 689 = 338491920

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.

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

712 : 1, 2, 4, 8, 89, 178, 356, 712

689 : 1, 13, 53, 689

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 690,712,689, is 1.

Now, the common factors can be found like this.

690:2x 3x 5x 23

712:2x 2x 2x 89

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.

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 = 338491920/(1x2)

LCM = 338491920/2

LCM = 169245960

Thus, we can understand that the LCM of 690,712,689 is 169245960.

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

• LCM of 219, 556, 503
• LCM of 225, 248, 303
• LCM of 197, 101, 960
• LCM of 872, 522, 878
• LCM of 385, 281, 521

1. What is the LCM of 690, 712, 689?

Answer: LCM of 690, 712, 689 is 169245960.

2. How to calculate the LCM of 690, 712, 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 690, 712, 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}.