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LCM of 689, 689, 696

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


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

 

LCM of:

Calculate the LCM of 689,689,696

Given numbers are 689,689,696

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

The LCM of 689,689,696 is 479544.

Find LCM of 689,689,696 with Prime Factorization


13 689, 689, 696
53 53, 53, 696
1, 1, 696

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

13 x 53 x 1 x 1 x 696 = 479544

Therefore, the lowest common multiple of 689,689,696 is 479544.

LCM Formula to Find Lowest Common Multiple of 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.

689 x 689 x 696 = 330405816

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

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 689,689,696, is 1.

Now, the common factors can be found like this.

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.

13x 53 = 689

Therefore, the value for common factors is 689.

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 = 330405816/(1x689)

LCM = 330405816/689

LCM = 479544

Thus, we can understand that the LCM of 689,689,696 is 479544.

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

FAQs on LCM of 689, 689, 696

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

Answer: LCM of 689, 689, 696 is 479544.

2. How to calculate the LCM of 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 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}.