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LCM of 364, 567, 406, 313

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


Find the LCM of 364, 567, 406, 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 364, 567, 406, 313. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 364,567,406,313

Given numbers are 364,567,406,313

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

The LCM of 364,567,406,313 is 267626268.

Find LCM of 364,567,406,313 with Prime Factorization


2 364, 567, 406, 313
7 182, 567, 203, 313
26, 81, 29, 313

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

2 x 7 x 26 x 81 x 29 x 313 = 267626268

Therefore, the lowest common multiple of 364,567,406,313 is 267626268.

LCM Formula to Find Lowest Common Multiple of 364,567,406,313

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.

364 x 567 x 406 x 313 = 26227374264

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.

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567

406 : 1, 2, 7, 14, 29, 58, 203, 406

313 : 1, 313

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 364,567,406,313, is 1.

Now, the common factors can be found like this.

364:2x 2x 7x 13

567:3x 3x 3x 3x 7

406:2x 7x 29

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.

2x 7x 7 = 98

Therefore, the value for common factors is 98.

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 = 26227374264/(1x98)

LCM = 26227374264/98

LCM = 267626268

Thus, we can understand that the LCM of 364,567,406,313 is 267626268.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 364, 567, 406, 313

1. What is the LCM of 364, 567, 406, 313?

Answer: LCM of 364, 567, 406, 313 is 267626268.

2. How to calculate the LCM of 364, 567, 406, 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 364, 567, 406, 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}.