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LCM of 689, 689, 679, 764, 930

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


Find the LCM of 689, 689, 679, 764, 930 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, 679, 764, 930. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 689,689,679,764,930

Given numbers are 689,689,679,764,930

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

The LCM of 689,689,679,764,930 is 166201641060.

Find LCM of 689,689,679,764,930 with Prime Factorization


2 689, 689, 679, 764, 930
13 689, 689, 679, 382, 465
53 53, 53, 679, 382, 465
1, 1, 679, 382, 465

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

2 x 13 x 53 x 1 x 1 x 679 x 382 x 465 = 166201641060

Therefore, the lowest common multiple of 689,689,679,764,930 is 166201641060.

LCM Formula to Find Lowest Common Multiple of 689,689,679,764,930

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 679 x 764 x 930 = 229025861380680

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

679 : 1, 7, 97, 679

764 : 1, 2, 4, 191, 382, 764

930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 689,689,679,764,930, is 1.

Now, the common factors can be found like this.

689:13x 53

689:13x 53

679:7x 97

764:2x 2x 191

930:2x 3x 5x 31

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 = 229025861380680/(1x1378)

LCM = 229025861380680/1378

LCM = 166201641060

Thus, we can understand that the LCM of 689,689,679,764,930 is 166201641060.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 689, 689, 679, 764, 930

1. What is the LCM of 689, 689, 679, 764, 930?

Answer: LCM of 689, 689, 679, 764, 930 is 166201641060.

2. How to calculate the LCM of 689, 689, 679, 764, 930?

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, 679, 764, 930.

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}.