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 526, 180, 388, 447, 349

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


Find the LCM of 526, 180, 388, 447, 349 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 526, 180, 388, 447, 349. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 526,180,388,447,349

Given numbers are 526,180,388,447,349

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

The LCM of 526,180,388,447,349 is 238787551980.

Find LCM of 526,180,388,447,349 with Prime Factorization


2 526, 180, 388, 447, 349
2 263, 90, 194, 447, 349
3 263, 45, 97, 447, 349
263, 15, 97, 149, 349

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

2 x 2 x 3 x 263 x 15 x 97 x 149 x 349 = 238787551980

Therefore, the lowest common multiple of 526,180,388,447,349 is 238787551980.

LCM Formula to Find Lowest Common Multiple of 526,180,388,447,349

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.

526 x 180 x 388 x 447 x 349 = 5730901247520

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.

526 : 1, 2, 263, 526

180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

388 : 1, 2, 4, 97, 194, 388

447 : 1, 3, 149, 447

349 : 1, 349

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 526,180,388,447,349, is 1.

Now, the common factors can be found like this.

526:2x 263

180:2x 2x 3x 3x 5

388:2x 2x 97

447:3x 149

349:349

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 = 5730901247520/(1x24)

LCM = 5730901247520/24

LCM = 238787551980

Thus, we can understand that the LCM of 526,180,388,447,349 is 238787551980.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 526, 180, 388, 447, 349

1. What is the LCM of 526, 180, 388, 447, 349?

Answer: LCM of 526, 180, 388, 447, 349 is 238787551980.

2. How to calculate the LCM of 526, 180, 388, 447, 349?

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 526, 180, 388, 447, 349.

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}.