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LCM of 689, 833, 735, 687, 517

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


Find the LCM of 689, 833, 735, 687, 517 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, 833, 735, 687, 517. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 689,833,735,687,517

Given numbers are 689,833,735,687,517

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

The LCM of 689,833,735,687,517 is 1019251848615.

Find LCM of 689,833,735,687,517 with Prime Factorization


3 689, 833, 735, 687, 517
7 689, 833, 245, 229, 517
7 689, 119, 35, 229, 517
689, 17, 5, 229, 517

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

3 x 7 x 7 x 689 x 17 x 5 x 229 x 517 = 1019251848615

Therefore, the lowest common multiple of 689,833,735,687,517 is 1019251848615.

LCM Formula to Find Lowest Common Multiple of 689,833,735,687,517

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 833 x 735 x 687 x 517 = 149830021746405

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

833 : 1, 7, 17, 49, 119, 833

735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

687 : 1, 3, 229, 687

517 : 1, 11, 47, 517

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 689,833,735,687,517, is 1.

Now, the common factors can be found like this.

689:13x 53

833:7x 7x 17

735:3x 5x 7x 7

687:3x 229

517:11x 47

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

3x 7x 7 = 147

Therefore, the value for common factors is 147.

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 = 149830021746405/(1x147)

LCM = 149830021746405/147

LCM = 1019251848615

Thus, we can understand that the LCM of 689,833,735,687,517 is 1019251848615.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 689, 833, 735, 687, 517

1. What is the LCM of 689, 833, 735, 687, 517?

Answer: LCM of 689, 833, 735, 687, 517 is 1019251848615.

2. How to calculate the LCM of 689, 833, 735, 687, 517?

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, 833, 735, 687, 517.

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}.