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LCM of 696, 285, 337, 680, 918

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


Find the LCM of 696, 285, 337, 680, 918 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 696, 285, 337, 680, 918. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 696,285,337,680,918

Given numbers are 696,285,337,680,918

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

The LCM of 696,285,337,680,918 is 3409213320.

Find LCM of 696,285,337,680,918 with Prime Factorization


2 696, 285, 337, 680, 918
2 348, 285, 337, 340, 459
2 174, 285, 337, 170, 459
3 87, 285, 337, 85, 459
5 29, 95, 337, 85, 153
17 29, 19, 337, 17, 153
29, 19, 337, 1, 9

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

2 x 2 x 2 x 3 x 5 x 17 x 29 x 19 x 337 x 1 x 9 = 3409213320

Therefore, the lowest common multiple of 696,285,337,680,918 is 3409213320.

LCM Formula to Find Lowest Common Multiple of 696,285,337,680,918

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.

696 x 285 x 337 x 680 x 918 = 41728771036800

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.

696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

285 : 1, 3, 5, 15, 19, 57, 95, 285

337 : 1, 337

680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 696,285,337,680,918, is 1.

Now, the common factors can be found like this.

696:2x 2x 2x 3x 29

285:3x 5x 19

337:337

680:2x 2x 2x 5x 17

918:2x 3x 3x 3x 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 2x 2x 2x 3x 3x 5x 17 = 12240

Therefore, the value for common factors is 12240.

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 = 41728771036800/(1x12240)

LCM = 41728771036800/12240

LCM = 3409213320

Thus, we can understand that the LCM of 696,285,337,680,918 is 3409213320.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 696, 285, 337, 680, 918

1. What is the LCM of 696, 285, 337, 680, 918?

Answer: LCM of 696, 285, 337, 680, 918 is 3409213320.

2. How to calculate the LCM of 696, 285, 337, 680, 918?

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 696, 285, 337, 680, 918.

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}.