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 388, 410, 988, 489, 652

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


Find the LCM of 388, 410, 988, 489, 652 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 388, 410, 988, 489, 652. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 388,410,988,489,652

Given numbers are 388,410,988,489,652

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

The LCM of 388,410,988,489,652 is 9607079820.

Find LCM of 388,410,988,489,652 with Prime Factorization


2 388, 410, 988, 489, 652
2 194, 205, 494, 489, 326
163 97, 205, 247, 489, 163
97, 205, 247, 3, 1

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

2 x 2 x 163 x 97 x 205 x 247 x 3 x 1 = 9607079820

Therefore, the lowest common multiple of 388,410,988,489,652 is 9607079820.

LCM Formula to Find Lowest Common Multiple of 388,410,988,489,652

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.

388 x 410 x 988 x 489 x 652 = 50110528341120

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.

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

410 : 1, 2, 5, 10, 41, 82, 205, 410

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

489 : 1, 3, 163, 489

652 : 1, 2, 4, 163, 326, 652

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 388,410,988,489,652, is 1.

Now, the common factors can be found like this.

388:2x 2x 97

410:2x 5x 41

988:2x 2x 13x 19

489:3x 163

652:2x 2x 163

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 2x 2x 163 = 5216

Therefore, the value for common factors is 5216.

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 = 50110528341120/(1x5216)

LCM = 50110528341120/5216

LCM = 9607079820

Thus, we can understand that the LCM of 388,410,988,489,652 is 9607079820.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 388, 410, 988, 489, 652

1. What is the LCM of 388, 410, 988, 489, 652?

Answer: LCM of 388, 410, 988, 489, 652 is 9607079820.

2. How to calculate the LCM of 388, 410, 988, 489, 652?

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 388, 410, 988, 489, 652.

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}.