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LCM of 689, 728, 286, 611

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


Find the LCM of 689, 728, 286, 611 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, 728, 286, 611. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 689,728,286,611

Given numbers are 689,728,286,611

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

The LCM of 689,728,286,611 is 19947928.

Find LCM of 689,728,286,611 with Prime Factorization


2 689, 728, 286, 611
13 689, 364, 143, 611
53, 28, 11, 47

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

2 x 13 x 53 x 28 x 11 x 47 = 19947928

Therefore, the lowest common multiple of 689,728,286,611 is 19947928.

LCM Formula to Find Lowest Common Multiple of 689,728,286,611

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 728 x 286 x 611 = 87651195632

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

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

286 : 1, 2, 11, 13, 22, 26, 143, 286

611 : 1, 13, 47, 611

13 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 689,728,286,611, is 13.

Now, the common factors can be found like this.

689:13x 53

728:2x 2x 2x 7x 13

286:2x 11x 13

611:13x 47

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 13 = 338

Therefore, the value for common factors is 338.

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 = 87651195632/(13x338)

LCM = 87651195632/4394

LCM = 19947928

Thus, we can understand that the LCM of 689,728,286,611 is 19947928.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 689, 728, 286, 611

1. What is the LCM of 689, 728, 286, 611?

Answer: LCM of 689, 728, 286, 611 is 19947928.

2. How to calculate the LCM of 689, 728, 286, 611?

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, 728, 286, 611.

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}.