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LCM of 298, 247, 439, 897, 149

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


Find the LCM of 298, 247, 439, 897, 149 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 298, 247, 439, 897, 149. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 298,247,439,897,149

Given numbers are 298,247,439,897,149

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

The LCM of 298,247,439,897,149 is 2229599346.

Find LCM of 298,247,439,897,149 with Prime Factorization


13 298, 247, 439, 897, 149
149 298, 19, 439, 69, 149
2, 19, 439, 69, 1

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

13 x 149 x 2 x 19 x 439 x 69 x 1 = 2229599346

Therefore, the lowest common multiple of 298,247,439,897,149 is 2229599346.

LCM Formula to Find Lowest Common Multiple of 298,247,439,897,149

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.

298 x 247 x 439 x 897 x 149 = 4318733933202

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.

298 : 1, 2, 149, 298

247 : 1, 13, 19, 247

439 : 1, 439

897 : 1, 3, 13, 23, 39, 69, 299, 897

149 : 1, 149

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 298,247,439,897,149, is 1.

Now, the common factors can be found like this.

298:2x 149

247:13x 19

439:439

897:3x 13x 23

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.

13x 149 = 1937

Therefore, the value for common factors is 1937.

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 = 4318733933202/(1x1937)

LCM = 4318733933202/1937

LCM = 2229599346

Thus, we can understand that the LCM of 298,247,439,897,149 is 2229599346.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 298, 247, 439, 897, 149

1. What is the LCM of 298, 247, 439, 897, 149?

Answer: LCM of 298, 247, 439, 897, 149 is 2229599346.

2. How to calculate the LCM of 298, 247, 439, 897, 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 298, 247, 439, 897, 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}.