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 622, 689, 689, 696

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


Find the LCM of 622, 689, 689, 696 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 622, 689, 689, 696. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 622,689,689,696

Given numbers are 622,689,689,696

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

The LCM of 622,689,689,696 is 149138184.

Find LCM of 622,689,689,696 with Prime Factorization


2 622, 689, 689, 696
13 311, 689, 689, 348
53 311, 53, 53, 348
311, 1, 1, 348

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

2 x 13 x 53 x 311 x 1 x 1 x 348 = 149138184

Therefore, the lowest common multiple of 622,689,689,696 is 149138184.

LCM Formula to Find Lowest Common Multiple of 622,689,689,696

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.

622 x 689 x 689 x 696 = 205512417552

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.

622 : 1, 2, 311, 622

689 : 1, 13, 53, 689

689 : 1, 13, 53, 689

696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 622,689,689,696, is 1.

Now, the common factors can be found like this.

622:2x 311

689:13x 53

689:13x 53

696:2x 2x 2x 3x 29

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 53 = 1378

Therefore, the value for common factors is 1378.

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 = 205512417552/(1x1378)

LCM = 205512417552/1378

LCM = 149138184

Thus, we can understand that the LCM of 622,689,689,696 is 149138184.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 622, 689, 689, 696

1. What is the LCM of 622, 689, 689, 696?

Answer: LCM of 622, 689, 689, 696 is 149138184.

2. How to calculate the LCM of 622, 689, 689, 696?

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 622, 689, 689, 696.

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}.