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LCM of 297, 447, 289, 121

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


Find the LCM of 297, 447, 289, 121 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 297, 447, 289, 121. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 297,447,289,121

Given numbers are 297,447,289,121

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

The LCM of 297,447,289,121 is 140680287.

Find LCM of 297,447,289,121 with Prime Factorization


3 297, 447, 289, 121
11 99, 149, 289, 121
9, 149, 289, 11

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

3 x 11 x 9 x 149 x 289 x 11 = 140680287

Therefore, the lowest common multiple of 297,447,289,121 is 140680287.

LCM Formula to Find Lowest Common Multiple of 297,447,289,121

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.

297 x 447 x 289 x 121 = 4642449471

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.

297 : 1, 3, 9, 11, 27, 33, 99, 297

447 : 1, 3, 149, 447

289 : 1, 17, 289

121 : 1, 11, 121

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 297,447,289,121, is 1.

Now, the common factors can be found like this.

297:3x 3x 3x 11

447:3x 149

289:17x 17

121:11x 11

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

3x 11 = 33

Therefore, the value for common factors is 33.

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 = 4642449471/(1x33)

LCM = 4642449471/33

LCM = 140680287

Thus, we can understand that the LCM of 297,447,289,121 is 140680287.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 297, 447, 289, 121

1. What is the LCM of 297, 447, 289, 121?

Answer: LCM of 297, 447, 289, 121 is 140680287.

2. How to calculate the LCM of 297, 447, 289, 121?

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 297, 447, 289, 121.

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}.