LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

LCM of 326, 516, 520, 667, 339

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


Find the LCM of 326, 516, 520, 667, 339 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, 516, 520, 667, 339. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 326,516,520,667,339

Given numbers are 326,516,520,667,339

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

The LCM of 326,516,520,667,339 is 824109528840.

Find LCM of 326,516,520,667,339 with Prime Factorization


2 326, 516, 520, 667, 339
2 163, 258, 260, 667, 339
3 163, 129, 130, 667, 339
163, 43, 130, 667, 113

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

2 x 2 x 3 x 163 x 43 x 130 x 667 x 113 = 824109528840

Therefore, the lowest common multiple of 326,516,520,667,339 is 824109528840.

LCM Formula to Find Lowest Common Multiple of 326,516,520,667,339

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 516 x 520 x 667 x 339 = 19778628692160

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

516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

667 : 1, 23, 29, 667

339 : 1, 3, 113, 339

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 326,516,520,667,339, is 1.

Now, the common factors can be found like this.

326:2x 163

516:2x 2x 3x 43

520:2x 2x 2x 5x 13

667:23x 29

339:3x 113

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

2x 2x 2x 3 = 24

Therefore, the value for common factors is 24.

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 = 19778628692160/(1x24)

LCM = 19778628692160/24

LCM = 824109528840

Thus, we can understand that the LCM of 326,516,520,667,339 is 824109528840.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 326, 516, 520, 667, 339

1. What is the LCM of 326, 516, 520, 667, 339?

Answer: LCM of 326, 516, 520, 667, 339 is 824109528840.

2. How to calculate the LCM of 326, 516, 520, 667, 339?

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, 516, 520, 667, 339.

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}.