Given numbers are 289,253,391

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

The LCM of 289,253,391 is 73117.

Find LCM of 289,253,391 with Prime Factorization

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

17 x 23 x 17 x 11 x 1 = 73117

Therefore, the lowest common multiple of 289,253,391 is 73117.

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 253 x 391 = 28588747

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

253 : 1, 11, 23, 253

391 : 1, 17, 23, 391

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 289,253,391, is 1.

Now, the common factors can be found like this.

289:17x 17

253:11x 23

391:17x 23

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

17x 23 = 391

Therefore, the value for common factors is 391.

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 = 28588747/(1x391)

LCM = 28588747/391

LCM = 73117

Thus, we can understand that the LCM of 289,253,391 is 73117.

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

• LCM of 943, 689, 171
• LCM of 983, 434, 828
• LCM of 603, 865, 413
• LCM of 394, 459, 231
• LCM of 217, 969, 320

1. What is the LCM of 289, 253, 391?

Answer: LCM of 289, 253, 391 is 73117.

2. How to calculate the LCM of 289, 253, 391?

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, 253, 391.

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}.