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 689, 470, 572, 299, 391

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


Find the LCM of 689, 470, 572, 299, 391 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 689, 470, 572, 299, 391. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 689,470,572,299,391

Given numbers are 689,470,572,299,391

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

The LCM of 689,470,572,299,391 is 2785585660.

Find LCM of 689,470,572,299,391 with Prime Factorization


2 689, 470, 572, 299, 391
13 689, 235, 286, 299, 391
23 53, 235, 22, 23, 391
53, 235, 22, 1, 17

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

2 x 13 x 23 x 53 x 235 x 22 x 1 x 17 = 2785585660

Therefore, the lowest common multiple of 689,470,572,299,391 is 2785585660.

LCM Formula to Find Lowest Common Multiple of 689,470,572,299,391

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.

689 x 470 x 572 x 299 x 391 = 21655142920840

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.

689 : 1, 13, 53, 689

470 : 1, 2, 5, 10, 47, 94, 235, 470

572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

299 : 1, 13, 23, 299

391 : 1, 17, 23, 391

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 689,470,572,299,391, is 1.

Now, the common factors can be found like this.

689:13x 53

470:2x 5x 47

572:2x 2x 11x 13

299:13x 23

391:17x 23

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

2x 13x 13x 23 = 7774

Therefore, the value for common factors is 7774.

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 = 21655142920840/(1x7774)

LCM = 21655142920840/7774

LCM = 2785585660

Thus, we can understand that the LCM of 689,470,572,299,391 is 2785585660.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 689, 470, 572, 299, 391

1. What is the LCM of 689, 470, 572, 299, 391?

Answer: LCM of 689, 470, 572, 299, 391 is 2785585660.

2. How to calculate the LCM of 689, 470, 572, 299, 391?

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 689, 470, 572, 299, 391.

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}.