Given numbers are 689,412,178

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

The LCM of 689,412,178 is 25264252.

Find LCM of 689,412,178 with Prime Factorization

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

2 x 689 x 206 x 89 = 25264252

Therefore, the lowest common multiple of 689,412,178 is 25264252.

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.

689 x 412 x 178 = 50528504

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.

689 : 1, 13, 53, 689

412 : 1, 2, 4, 103, 206, 412

178 : 1, 2, 89, 178

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 689,412,178, is 1.

Now, the common factors can be found like this.

689:13x 53

412:2x 2x 103

178:2x 89

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 = 50528504/(1x2)

LCM = 50528504/2

LCM = 25264252

Thus, we can understand that the LCM of 689,412,178 is 25264252.

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

• LCM of 845, 300, 693
• LCM of 521, 398, 849
• LCM of 606, 852, 834
• LCM of 150, 505, 220
• LCM of 208, 425, 961

1. What is the LCM of 689, 412, 178?

Answer: LCM of 689, 412, 178 is 25264252.

2. How to calculate the LCM of 689, 412, 178?

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 689, 412, 178.

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}.