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LCM of 155, 338, 504, 897

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


Find the LCM of 155, 338, 504, 897 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 155, 338, 504, 897. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 155,338,504,897

Given numbers are 155,338,504,897

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

The LCM of 155,338,504,897 is 303652440.

Find LCM of 155,338,504,897 with Prime Factorization


2 155, 338, 504, 897
3 155, 169, 252, 897
13 155, 169, 84, 299
155, 13, 84, 23

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

2 x 3 x 13 x 155 x 13 x 84 x 23 = 303652440

Therefore, the lowest common multiple of 155,338,504,897 is 303652440.

LCM Formula to Find Lowest Common Multiple of 155,338,504,897

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.

155 x 338 x 504 x 897 = 23684890320

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.

155 : 1, 5, 31, 155

338 : 1, 2, 13, 26, 169, 338

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 155,338,504,897, is 1.

Now, the common factors can be found like this.

155:5x 31

338:2x 13x 13

504:2x 2x 2x 3x 3x 7

897:3x 13x 23

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

2x 3x 13 = 78

Therefore, the value for common factors is 78.

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 = 23684890320/(1x78)

LCM = 23684890320/78

LCM = 303652440

Thus, we can understand that the LCM of 155,338,504,897 is 303652440.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 155, 338, 504, 897

1. What is the LCM of 155, 338, 504, 897?

Answer: LCM of 155, 338, 504, 897 is 303652440.

2. How to calculate the LCM of 155, 338, 504, 897?

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 155, 338, 504, 897.

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}.