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 349, 396, 363, 778, 543

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


Find the LCM of 349, 396, 363, 778, 543 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 349, 396, 363, 778, 543. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 349,396,363,778,543

Given numbers are 349,396,363,778,543

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

The LCM of 349,396,363,778,543 is 107038859796.

Find LCM of 349,396,363,778,543 with Prime Factorization


2 349, 396, 363, 778, 543
3 349, 198, 363, 389, 543
11 349, 66, 121, 389, 181
349, 6, 11, 389, 181

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

2 x 3 x 11 x 349 x 6 x 11 x 389 x 181 = 107038859796

Therefore, the lowest common multiple of 349,396,363,778,543 is 107038859796.

LCM Formula to Find Lowest Common Multiple of 349,396,363,778,543

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.

349 x 396 x 363 x 778 x 543 = 21193694239608

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.

349 : 1, 349

396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

363 : 1, 3, 11, 33, 121, 363

778 : 1, 2, 389, 778

543 : 1, 3, 181, 543

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 349,396,363,778,543, is 1.

Now, the common factors can be found like this.

349:349

396:2x 2x 3x 3x 11

363:3x 11x 11

778:2x 389

543:3x 181

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

2x 3x 3x 11 = 198

Therefore, the value for common factors is 198.

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 = 21193694239608/(1x198)

LCM = 21193694239608/198

LCM = 107038859796

Thus, we can understand that the LCM of 349,396,363,778,543 is 107038859796.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 349, 396, 363, 778, 543

1. What is the LCM of 349, 396, 363, 778, 543?

Answer: LCM of 349, 396, 363, 778, 543 is 107038859796.

2. How to calculate the LCM of 349, 396, 363, 778, 543?

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 349, 396, 363, 778, 543.

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}.