Given numbers are 289,102,289

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

The LCM of 289,102,289 is 1734.

Find LCM of 289,102,289 with Prime Factorization

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

17 x 17 x 1 x 6 x 1 = 1734

Therefore, the lowest common multiple of 289,102,289 is 1734.

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.

289 x 102 x 289 = 8519142

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.

289 : 1, 17, 289

102 : 1, 2, 3, 6, 17, 34, 51, 102

289 : 1, 17, 289

17 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 289,102,289, is 17.

Now, the common factors can be found like this.

289:17x 17

102:2x 3x 17

289:17x 17

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

17x 17 = 289

Therefore, the value for common factors is 289.

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 = 8519142/(17x289)

LCM = 8519142/4913

LCM = 1734

Thus, we can understand that the LCM of 289,102,289 is 1734.

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

• LCM of 753, 505, 293
• LCM of 656, 619, 781
• LCM of 591, 674, 448
• LCM of 421, 179, 812
• LCM of 458, 578, 541

1. What is the LCM of 289, 102, 289?

Answer: LCM of 289, 102, 289 is 1734.

2. How to calculate the LCM of 289, 102, 289?

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 289, 102, 289.

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}.