Given numbers are 689,298,149

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

The LCM of 689,298,149 is 205322.

Find LCM of 689,298,149 with Prime Factorization

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

149 x 689 x 2 x 1 = 205322

Therefore, the lowest common multiple of 689,298,149 is 205322.

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 298 x 149 = 30592978

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

298 : 1, 2, 149, 298

149 : 1, 149

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 689,298,149, is 1.

Now, the common factors can be found like this.

689:13x 53

298:2x 149

149:149

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

149 = 149

Therefore, the value for common factors is 149.

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 = 30592978/(1x149)

LCM = 30592978/149

LCM = 205322

Thus, we can understand that the LCM of 689,298,149 is 205322.

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

• LCM of 819, 569, 418
• LCM of 277, 107, 129
• LCM of 578, 310, 891
• LCM of 502, 746, 146
• LCM of 283, 305, 188

1. What is the LCM of 689, 298, 149?

Answer: LCM of 689, 298, 149 is 205322.

2. How to calculate the LCM of 689, 298, 149?

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, 298, 149.

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}.