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LCM of 874, 243, 299, 313

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


Find the LCM of 874, 243, 299, 313 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 874, 243, 299, 313. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 874,243,299,313

Given numbers are 874,243,299,313

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

The LCM of 874,243,299,313 is 864182358.

Find LCM of 874,243,299,313 with Prime Factorization


23 874, 243, 299, 313
38, 243, 13, 313

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

23 x 38 x 243 x 13 x 313 = 864182358

Therefore, the lowest common multiple of 874,243,299,313 is 864182358.

LCM Formula to Find Lowest Common Multiple of 874,243,299,313

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.

874 x 243 x 299 x 313 = 19876194234

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.

874 : 1, 2, 19, 23, 38, 46, 437, 874

243 : 1, 3, 9, 27, 81, 243

299 : 1, 13, 23, 299

313 : 1, 313

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 874,243,299,313, is 1.

Now, the common factors can be found like this.

874:2x 19x 23

243:3x 3x 3x 3x 3

299:13x 23

313:313

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

23 = 23

Therefore, the value for common factors is 23.

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 = 19876194234/(1x23)

LCM = 19876194234/23

LCM = 864182358

Thus, we can understand that the LCM of 874,243,299,313 is 864182358.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 874, 243, 299, 313

1. What is the LCM of 874, 243, 299, 313?

Answer: LCM of 874, 243, 299, 313 is 864182358.

2. How to calculate the LCM of 874, 243, 299, 313?

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 874, 243, 299, 313.

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}.