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LCM of 828, 699, 699, 313

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


Find the LCM of 828, 699, 699, 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 828, 699, 699, 313. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 828,699,699,313

Given numbers are 828,699,699,313

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

The LCM of 828,699,699,313 is 60385212.

Find LCM of 828,699,699,313 with Prime Factorization


3 828, 699, 699, 313
233 276, 233, 233, 313
276, 1, 1, 313

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

3 x 233 x 276 x 1 x 1 x 313 = 60385212

Therefore, the lowest common multiple of 828,699,699,313 is 60385212.

LCM Formula to Find Lowest Common Multiple of 828,699,699,313

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.

828 x 699 x 699 x 313 = 126627789564

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.

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

699 : 1, 3, 233, 699

699 : 1, 3, 233, 699

313 : 1, 313

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,699,699,313, is 1.

Now, the common factors can be found like this.

828:2x 2x 3x 3x 23

699:3x 233

699:3x 233

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.

3x 3x 233 = 2097

Therefore, the value for common factors is 2097.

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 = 126627789564/(1x2097)

LCM = 126627789564/2097

LCM = 60385212

Thus, we can understand that the LCM of 828,699,699,313 is 60385212.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 828, 699, 699, 313

1. What is the LCM of 828, 699, 699, 313?

Answer: LCM of 828, 699, 699, 313 is 60385212.

2. How to calculate the LCM of 828, 699, 699, 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 828, 699, 699, 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}.