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LCM of 689, 513, 759, 622, 936

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


Find the LCM of 689, 513, 759, 622, 936 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, 513, 759, 622, 936. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 689,513,759,622,936

Given numbers are 689,513,759,622,936

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

The LCM of 689,513,759,622,936 is 222488457048.

Find LCM of 689,513,759,622,936 with Prime Factorization


2 689, 513, 759, 622, 936
3 689, 513, 759, 311, 468
3 689, 171, 253, 311, 156
13 689, 57, 253, 311, 52
53, 57, 253, 311, 4

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

2 x 3 x 3 x 13 x 53 x 57 x 253 x 311 x 4 = 222488457048

Therefore, the lowest common multiple of 689,513,759,622,936 is 222488457048.

LCM Formula to Find Lowest Common Multiple of 689,513,759,622,936

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 513 x 759 x 622 x 936 = 156186896847696

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

513 : 1, 3, 9, 19, 27, 57, 171, 513

759 : 1, 3, 11, 23, 33, 69, 253, 759

622 : 1, 2, 311, 622

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 689,513,759,622,936, is 1.

Now, the common factors can be found like this.

689:13x 53

513:3x 3x 3x 19

759:3x 11x 23

622:2x 311

936:2x 2x 2x 3x 3x 13

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

2x 3x 3x 3x 13 = 702

Therefore, the value for common factors is 702.

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 = 156186896847696/(1x702)

LCM = 156186896847696/702

LCM = 222488457048

Thus, we can understand that the LCM of 689,513,759,622,936 is 222488457048.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 689, 513, 759, 622, 936

1. What is the LCM of 689, 513, 759, 622, 936?

Answer: LCM of 689, 513, 759, 622, 936 is 222488457048.

2. How to calculate the LCM of 689, 513, 759, 622, 936?

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, 513, 759, 622, 936.

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}.