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LCM of 547, 525, 257, 515, 680

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


Find the LCM of 547, 525, 257, 515, 680 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 547, 525, 257, 515, 680. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 547,525,257,515,680

Given numbers are 547,525,257,515,680

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

The LCM of 547,525,257,515,680 is 1033846081800.

Find LCM of 547,525,257,515,680 with Prime Factorization


5 547, 525, 257, 515, 680
547, 105, 257, 103, 136

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

5 x 547 x 105 x 257 x 103 x 136 = 1033846081800

Therefore, the lowest common multiple of 547,525,257,515,680 is 1033846081800.

LCM Formula to Find Lowest Common Multiple of 547,525,257,515,680

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.

547 x 525 x 257 x 515 x 680 = 25846152045000

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.

547 : 1, 547

525 : 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

257 : 1, 257

515 : 1, 5, 103, 515

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 547,525,257,515,680, is 1.

Now, the common factors can be found like this.

547:547

525:3x 5x 5x 7

257:257

515:5x 103

680:2x 2x 2x 5x 17

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

5x 5 = 25

Therefore, the value for common factors is 25.

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 = 25846152045000/(1x25)

LCM = 25846152045000/25

LCM = 1033846081800

Thus, we can understand that the LCM of 547,525,257,515,680 is 1033846081800.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 547, 525, 257, 515, 680

1. What is the LCM of 547, 525, 257, 515, 680?

Answer: LCM of 547, 525, 257, 515, 680 is 1033846081800.

2. How to calculate the LCM of 547, 525, 257, 515, 680?

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 547, 525, 257, 515, 680.

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}.