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LCM of 680, 200, 418, 737, 555

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


Find the LCM of 680, 200, 418, 737, 555 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 680, 200, 418, 737, 555. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 680,200,418,737,555

Given numbers are 680,200,418,737,555

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

The LCM of 680,200,418,737,555 is 5284732200.

Find LCM of 680,200,418,737,555 with Prime Factorization


2 680, 200, 418, 737, 555
2 340, 100, 209, 737, 555
2 170, 50, 209, 737, 555
5 85, 25, 209, 737, 555
11 17, 5, 209, 737, 111
17, 5, 19, 67, 111

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

2 x 2 x 2 x 5 x 11 x 17 x 5 x 19 x 67 x 111 = 5284732200

Therefore, the lowest common multiple of 680,200,418,737,555 is 5284732200.

LCM Formula to Find Lowest Common Multiple of 680,200,418,737,555

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.

680 x 200 x 418 x 737 x 555 = 23252821680000

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.

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

200 : 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

418 : 1, 2, 11, 19, 22, 38, 209, 418

737 : 1, 11, 67, 737

555 : 1, 3, 5, 15, 37, 111, 185, 555

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 680,200,418,737,555, is 1.

Now, the common factors can be found like this.

680:2x 2x 2x 5x 17

200:2x 2x 2x 5x 5

418:2x 11x 19

737:11x 67

555:3x 5x 37

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 5x 5x 11 = 4400

Therefore, the value for common factors is 4400.

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 = 23252821680000/(1x4400)

LCM = 23252821680000/4400

LCM = 5284732200

Thus, we can understand that the LCM of 680,200,418,737,555 is 5284732200.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 680, 200, 418, 737, 555

1. What is the LCM of 680, 200, 418, 737, 555?

Answer: LCM of 680, 200, 418, 737, 555 is 5284732200.

2. How to calculate the LCM of 680, 200, 418, 737, 555?

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 680, 200, 418, 737, 555.

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}.