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LCM of 326, 985, 545, 399

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


Find the LCM of 326, 985, 545, 399 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 326, 985, 545, 399. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 326,985,545,399

Given numbers are 326,985,545,399

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

The LCM of 326,985,545,399 is 13965395010.

Find LCM of 326,985,545,399 with Prime Factorization


5 326, 985, 545, 399
326, 197, 109, 399

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

5 x 326 x 197 x 109 x 399 = 13965395010

Therefore, the lowest common multiple of 326,985,545,399 is 13965395010.

LCM Formula to Find Lowest Common Multiple of 326,985,545,399

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.

326 x 985 x 545 x 399 = 69826975050

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.

326 : 1, 2, 163, 326

985 : 1, 5, 197, 985

545 : 1, 5, 109, 545

399 : 1, 3, 7, 19, 21, 57, 133, 399

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 326,985,545,399, is 1.

Now, the common factors can be found like this.

326:2x 163

985:5x 197

545:5x 109

399:3x 7x 19

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

5 = 5

Therefore, the value for common factors is 5.

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 = 69826975050/(1x5)

LCM = 69826975050/5

LCM = 13965395010

Thus, we can understand that the LCM of 326,985,545,399 is 13965395010.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 326, 985, 545, 399

1. What is the LCM of 326, 985, 545, 399?

Answer: LCM of 326, 985, 545, 399 is 13965395010.

2. How to calculate the LCM of 326, 985, 545, 399?

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 326, 985, 545, 399.

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}.