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LCM of 689, 299, 500, 238, 595

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


Find the LCM of 689, 299, 500, 238, 595 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, 299, 500, 238, 595. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 689,299,500,238,595

Given numbers are 689,299,500,238,595

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

The LCM of 689,299,500,238,595 is 942896500.

Find LCM of 689,299,500,238,595 with Prime Factorization


2 689, 299, 500, 238, 595
5 689, 299, 250, 119, 595
7 689, 299, 50, 119, 119
13 689, 299, 50, 17, 17
17 53, 23, 50, 17, 17
53, 23, 50, 1, 1

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

2 x 5 x 7 x 13 x 17 x 53 x 23 x 50 x 1 x 1 = 942896500

Therefore, the lowest common multiple of 689,299,500,238,595 is 942896500.

LCM Formula to Find Lowest Common Multiple of 689,299,500,238,595

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 299 x 500 x 238 x 595 = 14586608855000

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

299 : 1, 13, 23, 299

500 : 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

238 : 1, 2, 7, 14, 17, 34, 119, 238

595 : 1, 5, 7, 17, 35, 85, 119, 595

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 689,299,500,238,595, is 1.

Now, the common factors can be found like this.

689:13x 53

299:13x 23

500:2x 2x 5x 5x 5

238:2x 7x 17

595:5x 7x 17

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

2x 5x 7x 13x 17 = 15470

Therefore, the value for common factors is 15470.

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 = 14586608855000/(1x15470)

LCM = 14586608855000/15470

LCM = 942896500

Thus, we can understand that the LCM of 689,299,500,238,595 is 942896500.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 689, 299, 500, 238, 595

1. What is the LCM of 689, 299, 500, 238, 595?

Answer: LCM of 689, 299, 500, 238, 595 is 942896500.

2. How to calculate the LCM of 689, 299, 500, 238, 595?

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, 299, 500, 238, 595.

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}.