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LCM of 289, 331, 408, 548, 318

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 289, 331, 408, 548, 318 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 289, 331, 408, 548, 318. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 289,331,408,548,318

Given numbers are 289,331,408,548,318

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

The LCM of 289,331,408,548,318 is 16669919976.

Find LCM of 289,331,408,548,318 with Prime Factorization


2 289, 331, 408, 548, 318
2 289, 331, 204, 274, 159
3 289, 331, 102, 137, 159
17 289, 331, 34, 137, 53
17, 331, 2, 137, 53

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

2 x 2 x 3 x 17 x 17 x 331 x 2 x 137 x 53 = 16669919976

Therefore, the lowest common multiple of 289,331,408,548,318 is 16669919976.

LCM Formula to Find Lowest Common Multiple of 289,331,408,548,318

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 331 x 408 x 548 x 318 = 6801327350208

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

331 : 1, 331

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

548 : 1, 2, 4, 137, 274, 548

318 : 1, 2, 3, 6, 53, 106, 159, 318

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 289,331,408,548,318, is 1.

Now, the common factors can be found like this.

289:17x 17

331:331

408:2x 2x 2x 3x 17

548:2x 2x 137

318:2x 3x 53

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

2x 2x 2x 3x 17 = 408

Therefore, the value for common factors is 408.

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 = 6801327350208/(1x408)

LCM = 6801327350208/408

LCM = 16669919976

Thus, we can understand that the LCM of 289,331,408,548,318 is 16669919976.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 289, 331, 408, 548, 318

1. What is the LCM of 289, 331, 408, 548, 318?

Answer: LCM of 289, 331, 408, 548, 318 is 16669919976.

2. How to calculate the LCM of 289, 331, 408, 548, 318?

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, 331, 408, 548, 318.

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}.