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LCM of 689, 305, 104, 583

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


Find the LCM of 689, 305, 104, 583 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, 305, 104, 583. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 689,305,104,583

Given numbers are 689,305,104,583

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

The LCM of 689,305,104,583 is 18492760.

Find LCM of 689,305,104,583 with Prime Factorization


13 689, 305, 104, 583
53 53, 305, 8, 583
1, 305, 8, 11

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

13 x 53 x 1 x 305 x 8 x 11 = 18492760

Therefore, the lowest common multiple of 689,305,104,583 is 18492760.

LCM Formula to Find Lowest Common Multiple of 689,305,104,583

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 305 x 104 x 583 = 12741511640

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

305 : 1, 5, 61, 305

104 : 1, 2, 4, 8, 13, 26, 52, 104

583 : 1, 11, 53, 583

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 689,305,104,583, is 1.

Now, the common factors can be found like this.

689:13x 53

305:5x 61

104:2x 2x 2x 13

583:11x 53

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 = 12741511640/(1x689)

LCM = 12741511640/689

LCM = 18492760

Thus, we can understand that the LCM of 689,305,104,583 is 18492760.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 689, 305, 104, 583

1. What is the LCM of 689, 305, 104, 583?

Answer: LCM of 689, 305, 104, 583 is 18492760.

2. How to calculate the LCM of 689, 305, 104, 583?

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, 305, 104, 583.

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}.