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 319, 682, 278, 207, 664

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


Find the LCM of 319, 682, 278, 207, 664 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 319, 682, 278, 207, 664. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 319,682,278,207,664

Given numbers are 319,682,278,207,664

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

The LCM of 319,682,278,207,664 is 188932034808.

Find LCM of 319,682,278,207,664 with Prime Factorization


2 319, 682, 278, 207, 664
11 319, 341, 139, 207, 332
29, 31, 139, 207, 332

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

2 x 11 x 29 x 31 x 139 x 207 x 332 = 188932034808

Therefore, the lowest common multiple of 319,682,278,207,664 is 188932034808.

LCM Formula to Find Lowest Common Multiple of 319,682,278,207,664

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.

319 x 682 x 278 x 207 x 664 = 8313009531552

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.

319 : 1, 11, 29, 319

682 : 1, 2, 11, 22, 31, 62, 341, 682

278 : 1, 2, 139, 278

207 : 1, 3, 9, 23, 69, 207

664 : 1, 2, 4, 8, 83, 166, 332, 664

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 319,682,278,207,664, is 1.

Now, the common factors can be found like this.

319:11x 29

682:2x 11x 31

278:2x 139

207:3x 3x 23

664:2x 2x 2x 83

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 11 = 44

Therefore, the value for common factors is 44.

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 = 8313009531552/(1x44)

LCM = 8313009531552/44

LCM = 188932034808

Thus, we can understand that the LCM of 319,682,278,207,664 is 188932034808.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 319, 682, 278, 207, 664

1. What is the LCM of 319, 682, 278, 207, 664?

Answer: LCM of 319, 682, 278, 207, 664 is 188932034808.

2. How to calculate the LCM of 319, 682, 278, 207, 664?

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 319, 682, 278, 207, 664.

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}.